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Finding the Fourth Proportional to 506,065.05, 698,370.44 and 291,200.80

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Solution

The fourth proportional to 506,065.05, 698,370.44 and 291,200.80 is: 401,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,065.05 : 698,370.44 = 291,200.80 : x
  2. Step 2: Convert to fraction form
    506,065.05/698,370.44 = 291,200.80/x
  3. Step 3: Cross multiply
    506,065.05x = 698,370.44 × 291,200.80
  4. Step 4: Simplify right side
    506,065.05x = 203,366,030,824.35
  5. Step 5: Solve for x
    x = 203,366,030,824.35/506,065.05
  6. Step 6: Final answer
    x = 401,857.49

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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.