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Finding the Fourth Proportional to 509,029.20, 763,349.40 and 153,925.20

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Solution

The fourth proportional to 509,029.20, 763,349.40 and 153,925.20 is: 230,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,029.20 : 763,349.40 = 153,925.20 : x
  2. Step 2: Convert to fraction form
    509,029.20/763,349.40 = 153,925.20/x
  3. Step 3: Cross multiply
    509,029.20x = 763,349.40 × 153,925.20
  4. Step 4: Simplify right side
    509,029.20x = 117,498,709,064.88
  5. Step 5: Solve for x
    x = 117,498,709,064.88/509,029.20
  6. Step 6: Final answer
    x = 230,829.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.