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Finding the Fourth Proportional to 502,029.60, 753,627.60 and 302,575.20

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Solution

The fourth proportional to 502,029.60, 753,627.60 and 302,575.20 is: 454,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,029.60 : 753,627.60 = 302,575.20 : x
  2. Step 2: Convert to fraction form
    502,029.60/753,627.60 = 302,575.20/x
  3. Step 3: Cross multiply
    502,029.60x = 753,627.60 × 302,575.20
  4. Step 4: Simplify right side
    502,029.60x = 228,029,021,795.52
  5. Step 5: Solve for x
    x = 228,029,021,795.52/502,029.60
  6. Step 6: Final answer
    x = 454,214.30

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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.