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Finding the Fourth Proportional to 531,209.50, 733,069.13 and 292,745.50

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Solution

The fourth proportional to 531,209.50, 733,069.13 and 292,745.50 is: 403,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,209.50 : 733,069.13 = 292,745.50 : x
  2. Step 2: Convert to fraction form
    531,209.50/733,069.13 = 292,745.50/x
  3. Step 3: Cross multiply
    531,209.50x = 733,069.13 × 292,745.50
  4. Step 4: Simplify right side
    531,209.50x = 214,602,688,996.42
  5. Step 5: Solve for x
    x = 214,602,688,996.42/531,209.50
  6. Step 6: Final answer
    x = 403,988.80

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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.