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Finding the Fourth Proportional to 456,476.30, 684,714.45 and 444,812.30

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Solution

The fourth proportional to 456,476.30, 684,714.45 and 444,812.30 is: 667,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,476.30 : 684,714.45 = 444,812.30 : x
  2. Step 2: Convert to fraction form
    456,476.30/684,714.45 = 444,812.30/x
  3. Step 3: Cross multiply
    456,476.30x = 684,714.45 × 444,812.30
  4. Step 4: Simplify right side
    456,476.30x = 304,569,409,347.74
  5. Step 5: Solve for x
    x = 304,569,409,347.74/456,476.30
  6. Step 6: Final answer
    x = 667,218.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.