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Finding the Fourth Proportional to 506,350.24, 698,829.42 and 291,499.36

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Solution

The fourth proportional to 506,350.24, 698,829.42 and 291,499.36 is: 402,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,350.24 : 698,829.42 = 291,499.36 : x
  2. Step 2: Convert to fraction form
    506,350.24/698,829.42 = 291,499.36/x
  3. Step 3: Cross multiply
    506,350.24x = 698,829.42 × 291,499.36
  4. Step 4: Simplify right side
    506,350.24x = 203,708,328,025.22
  5. Step 5: Solve for x
    x = 203,708,328,025.22/506,350.24
  6. Step 6: Final answer
    x = 402,307.16

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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.