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Finding the Fourth Proportional to 531,535.72, 733,697.04 and 316,743.16

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Solution

The fourth proportional to 531,535.72, 733,697.04 and 316,743.16 is: 437,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,535.72 : 733,697.04 = 316,743.16 : x
  2. Step 2: Convert to fraction form
    531,535.72/733,697.04 = 316,743.16/x
  3. Step 3: Cross multiply
    531,535.72x = 733,697.04 × 316,743.16
  4. Step 4: Simplify right side
    531,535.72x = 232,393,518,932.25
  5. Step 5: Solve for x
    x = 232,393,518,932.25/531,535.72
  6. Step 6: Final answer
    x = 437,211.48

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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.