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Finding the Fourth Proportional to 500,663.14, 746,528.71 and 445,025.86

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Solution

The fourth proportional to 500,663.14, 746,528.71 and 445,025.86 is: 663,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,663.14 : 746,528.71 = 445,025.86 : x
  2. Step 2: Convert to fraction form
    500,663.14/746,528.71 = 445,025.86/x
  3. Step 3: Cross multiply
    500,663.14x = 746,528.71 × 445,025.86
  4. Step 4: Simplify right side
    500,663.14x = 332,224,578,957.31
  5. Step 5: Solve for x
    x = 332,224,578,957.31/500,663.14
  6. Step 6: Final answer
    x = 663,569.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.