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Finding the Fourth Proportional to 524,861.51, 724,331.95 and 295,433.62

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Solution

The fourth proportional to 524,861.51, 724,331.95 and 295,433.62 is: 407,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,861.51 : 724,331.95 = 295,433.62 : x
  2. Step 2: Convert to fraction form
    524,861.51/724,331.95 = 295,433.62/x
  3. Step 3: Cross multiply
    524,861.51x = 724,331.95 × 295,433.62
  4. Step 4: Simplify right side
    524,861.51x = 213,992,010,070.16
  5. Step 5: Solve for x
    x = 213,992,010,070.16/524,861.51
  6. Step 6: Final answer
    x = 407,711.38

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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.