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Finding the Fourth Proportional to 415,715.30, 623,688.15 and 275,747.30

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Solution

The fourth proportional to 415,715.30, 623,688.15 and 275,747.30 is: 413,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,715.30 : 623,688.15 = 275,747.30 : x
  2. Step 2: Convert to fraction form
    415,715.30/623,688.15 = 275,747.30/x
  3. Step 3: Cross multiply
    415,715.30x = 623,688.15 × 275,747.30
  4. Step 4: Simplify right side
    415,715.30x = 171,980,323,404.50
  5. Step 5: Solve for x
    x = 171,980,323,404.50/415,715.30
  6. Step 6: Final answer
    x = 413,697.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.