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Finding the Fourth Proportional to 433,562.32, 649,501.90 and 319,503.16

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Solution

The fourth proportional to 433,562.32, 649,501.90 and 319,503.16 is: 478,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,562.32 : 649,501.90 = 319,503.16 : x
  2. Step 2: Convert to fraction form
    433,562.32/649,501.90 = 319,503.16/x
  3. Step 3: Cross multiply
    433,562.32x = 649,501.90 × 319,503.16
  4. Step 4: Simplify right side
    433,562.32x = 207,517,909,476.00
  5. Step 5: Solve for x
    x = 207,517,909,476.00/433,562.32
  6. Step 6: Final answer
    x = 478,634.56

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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.