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Finding the Fourth Proportional to 530,825, 732,538.50 and 292,361

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Solution

The fourth proportional to 530,825, 732,538.50 and 292,361 is: 403,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,825 : 732,538.50 = 292,361 : x
  2. Step 2: Convert to fraction form
    530,825/732,538.50 = 292,361/x
  3. Step 3: Cross multiply
    530,825x = 732,538.50 × 292,361
  4. Step 4: Simplify right side
    530,825x = 214,165,688,398.50
  5. Step 5: Solve for x
    x = 214,165,688,398.50/530,825
  6. Step 6: Final answer
    x = 403,458.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.