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Finding the Fourth Proportional to 456,643.20, 684,964.80 and 432,148.80

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Solution

The fourth proportional to 456,643.20, 684,964.80 and 432,148.80 is: 648,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,643.20 : 684,964.80 = 432,148.80 : x
  2. Step 2: Convert to fraction form
    456,643.20/684,964.80 = 432,148.80/x
  3. Step 3: Cross multiply
    456,643.20x = 684,964.80 × 432,148.80
  4. Step 4: Simplify right side
    456,643.20x = 296,006,716,362.24
  5. Step 5: Solve for x
    x = 296,006,716,362.24/456,643.20
  6. Step 6: Final answer
    x = 648,223.20

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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.