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Finding the Fourth Proportional to 475,741.90, 656,554.17 and 314,313.76

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Solution

The fourth proportional to 475,741.90, 656,554.17 and 314,313.76 is: 433,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,741.90 : 656,554.17 = 314,313.76 : x
  2. Step 2: Convert to fraction form
    475,741.90/656,554.17 = 314,313.76/x
  3. Step 3: Cross multiply
    475,741.90x = 656,554.17 × 314,313.76
  4. Step 4: Simplify right side
    475,741.90x = 206,364,009,816.38
  5. Step 5: Solve for x
    x = 206,364,009,816.38/475,741.90
  6. Step 6: Final answer
    x = 433,773.04

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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.