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Finding the Fourth Proportional to 506,064.80, 698,370.10 and 291,200.55

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Solution

The fourth proportional to 506,064.80, 698,370.10 and 291,200.55 is: 401,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,064.80 : 698,370.10 = 291,200.55 : x
  2. Step 2: Convert to fraction form
    506,064.80/698,370.10 = 291,200.55/x
  3. Step 3: Cross multiply
    506,064.80x = 698,370.10 × 291,200.55
  4. Step 4: Simplify right side
    506,064.80x = 203,365,757,223.56
  5. Step 5: Solve for x
    x = 203,365,757,223.56/506,064.80
  6. Step 6: Final answer
    x = 401,857.15

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1.5x scale

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.