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Finding the Fourth Proportional to 514,082.84, 708,166.71 and 437,356.17

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Solution

The fourth proportional to 514,082.84, 708,166.71 and 437,356.17 is: 602,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,082.84 : 708,166.71 = 437,356.17 : x
  2. Step 2: Convert to fraction form
    514,082.84/708,166.71 = 437,356.17/x
  3. Step 3: Cross multiply
    514,082.84x = 708,166.71 × 437,356.17
  4. Step 4: Simplify right side
    514,082.84x = 309,721,080,007.10
  5. Step 5: Solve for x
    x = 309,721,080,007.10/514,082.84
  6. Step 6: Final answer
    x = 602,473.10

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1.5x scale

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.