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Finding the Fourth Proportional to 514,068.09, 708,146.38 and 437,341.42

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Solution

The fourth proportional to 514,068.09, 708,146.38 and 437,341.42 is: 602,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,068.09 : 708,146.38 = 437,341.42 : x
  2. Step 2: Convert to fraction form
    514,068.09/708,146.38 = 437,341.42/x
  3. Step 3: Cross multiply
    514,068.09x = 708,146.38 × 437,341.42
  4. Step 4: Simplify right side
    514,068.09x = 309,701,743,397.06
  5. Step 5: Solve for x
    x = 309,701,743,397.06/514,068.09
  6. Step 6: Final answer
    x = 602,452.77

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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.