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Finding the Fourth Proportional to 737,874.77, 1,018,298.66 and 411,188.13

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Solution

The fourth proportional to 737,874.77, 1,018,298.66 and 411,188.13 is: 567,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,874.77 : 1,018,298.66 = 411,188.13 : x
  2. Step 2: Convert to fraction form
    737,874.77/1,018,298.66 = 411,188.13/x
  3. Step 3: Cross multiply
    737,874.77x = 1,018,298.66 × 411,188.13
  4. Step 4: Simplify right side
    737,874.77x = 418,712,319,730.97
  5. Step 5: Solve for x
    x = 418,712,319,730.97/737,874.77
  6. Step 6: Final answer
    x = 567,457.16

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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.