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Finding the Fourth Proportional to 476,294.74, 657,832.25 and 313,678.18

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Solution

The fourth proportional to 476,294.74, 657,832.25 and 313,678.18 is: 433,235.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,294.74 : 657,832.25 = 313,678.18 : x
  2. Step 2: Convert to fraction form
    476,294.74/657,832.25 = 313,678.18/x
  3. Step 3: Cross multiply
    476,294.74x = 657,832.25 × 313,678.18
  4. Step 4: Simplify right side
    476,294.74x = 206,347,622,925.31
  5. Step 5: Solve for x
    x = 206,347,622,925.31/476,294.74
  6. Step 6: Final answer
    x = 433,235.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.