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Finding the Fourth Proportional to 334,871.91, 502,312.02 and 98,219.49

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Solution

The fourth proportional to 334,871.91, 502,312.02 and 98,219.49 is: 147,330.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,871.91 : 502,312.02 = 98,219.49 : x
  2. Step 2: Convert to fraction form
    334,871.91/502,312.02 = 98,219.49/x
  3. Step 3: Cross multiply
    334,871.91x = 502,312.02 × 98,219.49
  4. Step 4: Simplify right side
    334,871.91x = 49,336,830,425.27
  5. Step 5: Solve for x
    x = 49,336,830,425.27/334,871.91
  6. Step 6: Final answer
    x = 147,330.45

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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.