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Finding the Fourth Proportional to 317,705.25, 438,531.66 and 204,528

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Solution

The fourth proportional to 317,705.25, 438,531.66 and 204,528 is: 282,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,705.25 : 438,531.66 = 204,528 : x
  2. Step 2: Convert to fraction form
    317,705.25/438,531.66 = 204,528/x
  3. Step 3: Cross multiply
    317,705.25x = 438,531.66 × 204,528
  4. Step 4: Simplify right side
    317,705.25x = 89,692,003,356.48
  5. Step 5: Solve for x
    x = 89,692,003,356.48/317,705.25
  6. Step 6: Final answer
    x = 282,312.00

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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.