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Finding the Fourth Proportional to 524,868.86, 724,317.24 and 295,426.01

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Solution

The fourth proportional to 524,868.86, 724,317.24 and 295,426.01 is: 407,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,868.86 : 724,317.24 = 295,426.01 : x
  2. Step 2: Convert to fraction form
    524,868.86/724,317.24 = 295,426.01/x
  3. Step 3: Cross multiply
    524,868.86x = 724,317.24 × 295,426.01
  4. Step 4: Simplify right side
    524,868.86x = 213,982,152,187.41
  5. Step 5: Solve for x
    x = 213,982,152,187.41/524,868.86
  6. Step 6: Final answer
    x = 407,686.89

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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.