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Finding the Fourth Proportional to 334,847.40, 502,352.10 and 98,197.80

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Solution

The fourth proportional to 334,847.40, 502,352.10 and 98,197.80 is: 147,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,847.40 : 502,352.10 = 98,197.80 : x
  2. Step 2: Convert to fraction form
    334,847.40/502,352.10 = 98,197.80/x
  3. Step 3: Cross multiply
    334,847.40x = 502,352.10 × 98,197.80
  4. Step 4: Simplify right side
    334,847.40x = 49,329,871,045.38
  5. Step 5: Solve for x
    x = 49,329,871,045.38/334,847.40
  6. Step 6: Final answer
    x = 147,320.45

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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.