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Finding the Fourth Proportional to 384,064.60, 575,924.10 and 147,328.60

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Solution

The fourth proportional to 384,064.60, 575,924.10 and 147,328.60 is: 220,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,064.60 : 575,924.10 = 147,328.60 : x
  2. Step 2: Convert to fraction form
    384,064.60/575,924.10 = 147,328.60/x
  3. Step 3: Cross multiply
    384,064.60x = 575,924.10 × 147,328.60
  4. Step 4: Simplify right side
    384,064.60x = 84,850,091,359.26
  5. Step 5: Solve for x
    x = 84,850,091,359.26/384,064.60
  6. Step 6: Final answer
    x = 220,926.61

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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.