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Finding the Fourth Proportional to 429,335.76, 644,298.92 and 148,853.01

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Solution

The fourth proportional to 429,335.76, 644,298.92 and 148,853.01 is: 223,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,335.76 : 644,298.92 = 148,853.01 : x
  2. Step 2: Convert to fraction form
    429,335.76/644,298.92 = 148,853.01/x
  3. Step 3: Cross multiply
    429,335.76x = 644,298.92 × 148,853.01
  4. Step 4: Simplify right side
    429,335.76x = 95,905,833,581.75
  5. Step 5: Solve for x
    x = 95,905,833,581.75/429,335.76
  6. Step 6: Final answer
    x = 223,381.89

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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.