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Finding the Fourth Proportional to 304,728.60, 457,165.80 and 146,827.20

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Solution

The fourth proportional to 304,728.60, 457,165.80 and 146,827.20 is: 220,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,728.60 : 457,165.80 = 146,827.20 : x
  2. Step 2: Convert to fraction form
    304,728.60/457,165.80 = 146,827.20/x
  3. Step 3: Cross multiply
    304,728.60x = 457,165.80 × 146,827.20
  4. Step 4: Simplify right side
    304,728.60x = 67,124,374,349.76
  5. Step 5: Solve for x
    x = 67,124,374,349.76/304,728.60
  6. Step 6: Final answer
    x = 220,275.93

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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.