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Finding the Fourth Proportional to 509,113.28, 702,293.28 and 473,071.52

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Solution

The fourth proportional to 509,113.28, 702,293.28 and 473,071.52 is: 652,575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,113.28 : 702,293.28 = 473,071.52 : x
  2. Step 2: Convert to fraction form
    509,113.28/702,293.28 = 473,071.52/x
  3. Step 3: Cross multiply
    509,113.28x = 702,293.28 × 473,071.52
  4. Step 4: Simplify right side
    509,113.28x = 332,234,949,455.39
  5. Step 5: Solve for x
    x = 332,234,949,455.39/509,113.28
  6. Step 6: Final answer
    x = 652,575.69

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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.