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Finding the Fourth Proportional to 356,929.60, 535,135.20 and 146,459.20

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Solution

The fourth proportional to 356,929.60, 535,135.20 and 146,459.20 is: 219,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,929.60 : 535,135.20 = 146,459.20 : x
  2. Step 2: Convert to fraction form
    356,929.60/535,135.20 = 146,459.20/x
  3. Step 3: Cross multiply
    356,929.60x = 535,135.20 × 146,459.20
  4. Step 4: Simplify right side
    356,929.60x = 78,375,473,283.84
  5. Step 5: Solve for x
    x = 78,375,473,283.84/356,929.60
  6. Step 6: Final answer
    x = 219,582.44

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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.