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Finding the Fourth Proportional to 509,335.40, 763,128.30 and 242,521.40

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Solution

The fourth proportional to 509,335.40, 763,128.30 and 242,521.40 is: 363,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,335.40 : 763,128.30 = 242,521.40 : x
  2. Step 2: Convert to fraction form
    509,335.40/763,128.30 = 242,521.40/x
  3. Step 3: Cross multiply
    509,335.40x = 763,128.30 × 242,521.40
  4. Step 4: Simplify right side
    509,335.40x = 185,074,943,695.62
  5. Step 5: Solve for x
    x = 185,074,943,695.62/509,335.40
  6. Step 6: Final answer
    x = 363,365.56

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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.