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Finding the Fourth Proportional to 586,534.72, 809,364 and 331,844.80

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Solution

The fourth proportional to 586,534.72, 809,364 and 331,844.80 is: 457,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,534.72 : 809,364 = 331,844.80 : x
  2. Step 2: Convert to fraction form
    586,534.72/809,364 = 331,844.80/x
  3. Step 3: Cross multiply
    586,534.72x = 809,364 × 331,844.80
  4. Step 4: Simplify right side
    586,534.72x = 268,583,234,707.20
  5. Step 5: Solve for x
    x = 268,583,234,707.20/586,534.72
  6. Step 6: Final answer
    x = 457,915.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.