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Finding the Fourth Proportional to 344,547.28, 516,294.60 and 144,758.44

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Solution

The fourth proportional to 344,547.28, 516,294.60 and 144,758.44 is: 216,916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,547.28 : 516,294.60 = 144,758.44 : x
  2. Step 2: Convert to fraction form
    344,547.28/516,294.60 = 144,758.44/x
  3. Step 3: Cross multiply
    344,547.28x = 516,294.60 × 144,758.44
  4. Step 4: Simplify right side
    344,547.28x = 74,738,000,876.42
  5. Step 5: Solve for x
    x = 74,738,000,876.42/344,547.28
  6. Step 6: Final answer
    x = 216,916.53

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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.