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Finding the Fourth Proportional to 530,234.50, 731,723.61 and 291,770.50

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Solution

The fourth proportional to 530,234.50, 731,723.61 and 291,770.50 is: 402,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,234.50 : 731,723.61 = 291,770.50 : x
  2. Step 2: Convert to fraction form
    530,234.50/731,723.61 = 291,770.50/x
  3. Step 3: Cross multiply
    530,234.50x = 731,723.61 × 291,770.50
  4. Step 4: Simplify right side
    530,234.50x = 213,495,363,551.51
  5. Step 5: Solve for x
    x = 213,495,363,551.51/530,234.50
  6. Step 6: Final answer
    x = 402,643.29

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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.