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Finding the Fourth Proportional to 334,065.80, 501,098.70 and 97,432.40

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Solution

The fourth proportional to 334,065.80, 501,098.70 and 97,432.40 is: 146,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,065.80 : 501,098.70 = 97,432.40 : x
  2. Step 2: Convert to fraction form
    334,065.80/501,098.70 = 97,432.40/x
  3. Step 3: Cross multiply
    334,065.80x = 501,098.70 × 97,432.40
  4. Step 4: Simplify right side
    334,065.80x = 48,823,248,977.88
  5. Step 5: Solve for x
    x = 48,823,248,977.88/334,065.80
  6. Step 6: Final answer
    x = 146,148.60

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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.