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Finding the Fourth Proportional to 304,962.57, 457,443.77 and 147,498.57

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Solution

The fourth proportional to 304,962.57, 457,443.77 and 147,498.57 is: 221,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,962.57 : 457,443.77 = 147,498.57 : x
  2. Step 2: Convert to fraction form
    304,962.57/457,443.77 = 147,498.57/x
  3. Step 3: Cross multiply
    304,962.57x = 457,443.77 × 147,498.57
  4. Step 4: Simplify right side
    304,962.57x = 67,472,301,192.92
  5. Step 5: Solve for x
    x = 67,472,301,192.92/304,962.57
  6. Step 6: Final answer
    x = 221,247.81

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1.5x scale

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.