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Finding the Fourth Proportional to 662,098, 913,695.24 and 360,294.16

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Solution

The fourth proportional to 662,098, 913,695.24 and 360,294.16 is: 497,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,098 : 913,695.24 = 360,294.16 : x
  2. Step 2: Convert to fraction form
    662,098/913,695.24 = 360,294.16/x
  3. Step 3: Cross multiply
    662,098x = 913,695.24 × 360,294.16
  4. Step 4: Simplify right side
    662,098x = 329,199,058,991.80
  5. Step 5: Solve for x
    x = 329,199,058,991.80/662,098
  6. Step 6: Final answer
    x = 497,205.94

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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.