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Finding the Fourth Proportional to 530,549, 732,157.86 and 292,085

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Solution

The fourth proportional to 530,549, 732,157.86 and 292,085 is: 403,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,549 : 732,157.86 = 292,085 : x
  2. Step 2: Convert to fraction form
    530,549/732,157.86 = 292,085/x
  3. Step 3: Cross multiply
    530,549x = 732,157.86 × 292,085
  4. Step 4: Simplify right side
    530,549x = 213,852,328,538.10
  5. Step 5: Solve for x
    x = 213,852,328,538.10/530,549
  6. Step 6: Final answer
    x = 403,077.43

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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.