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Finding the Fourth Proportional to 506,378.30, 698,887.98 and 291,642.69

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Solution

The fourth proportional to 506,378.30, 698,887.98 and 291,642.69 is: 402,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,378.30 : 698,887.98 = 291,642.69 : x
  2. Step 2: Convert to fraction form
    506,378.30/698,887.98 = 291,642.69/x
  3. Step 3: Cross multiply
    506,378.30x = 698,887.98 × 291,642.69
  4. Step 4: Simplify right side
    506,378.30x = 203,825,567,001.43
  5. Step 5: Solve for x
    x = 203,825,567,001.43/506,378.30
  6. Step 6: Final answer
    x = 402,516.39

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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.