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Finding the Fourth Proportional to 468,398.04, 702,708.86 and 152,855.52

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Solution

The fourth proportional to 468,398.04, 702,708.86 and 152,855.52 is: 229,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,398.04 : 702,708.86 = 152,855.52 : x
  2. Step 2: Convert to fraction form
    468,398.04/702,708.86 = 152,855.52/x
  3. Step 3: Cross multiply
    468,398.04x = 702,708.86 × 152,855.52
  4. Step 4: Simplify right side
    468,398.04x = 107,412,928,203.91
  5. Step 5: Solve for x
    x = 107,412,928,203.91/468,398.04
  6. Step 6: Final answer
    x = 229,319.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.