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Finding the Fourth Proportional to 524,872.86, 724,322.76 and 295,430.02

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Solution

The fourth proportional to 524,872.86, 724,322.76 and 295,430.02 is: 407,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,872.86 : 724,322.76 = 295,430.02 : x
  2. Step 2: Convert to fraction form
    524,872.86/724,322.76 = 295,430.02/x
  3. Step 3: Cross multiply
    524,872.86x = 724,322.76 × 295,430.02
  4. Step 4: Simplify right side
    524,872.86x = 213,986,687,473.26
  5. Step 5: Solve for x
    x = 213,986,687,473.26/524,872.86
  6. Step 6: Final answer
    x = 407,692.42

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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.