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Finding the Fourth Proportional to 340,248.96, 510,352.80 and 150,654.08

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Solution

The fourth proportional to 340,248.96, 510,352.80 and 150,654.08 is: 225,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,248.96 : 510,352.80 = 150,654.08 : x
  2. Step 2: Convert to fraction form
    340,248.96/510,352.80 = 150,654.08/x
  3. Step 3: Cross multiply
    340,248.96x = 510,352.80 × 150,654.08
  4. Step 4: Simplify right side
    340,248.96x = 76,886,731,559.42
  5. Step 5: Solve for x
    x = 76,886,731,559.42/340,248.96
  6. Step 6: Final answer
    x = 225,971.98

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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.