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Finding the Fourth Proportional to 614,095.46, 847,457.43 and 338,463.14

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Solution

The fourth proportional to 614,095.46, 847,457.43 and 338,463.14 is: 467,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,095.46 : 847,457.43 = 338,463.14 : x
  2. Step 2: Convert to fraction form
    614,095.46/847,457.43 = 338,463.14/x
  3. Step 3: Cross multiply
    614,095.46x = 847,457.43 × 338,463.14
  4. Step 4: Simplify right side
    614,095.46x = 286,833,097,267.61
  5. Step 5: Solve for x
    x = 286,833,097,267.61/614,095.46
  6. Step 6: Final answer
    x = 467,082.26

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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.