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Finding the Fourth Proportional to 357,371.20, 535,862.40 and 147,030.40

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Solution

The fourth proportional to 357,371.20, 535,862.40 and 147,030.40 is: 220,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,371.20 : 535,862.40 = 147,030.40 : x
  2. Step 2: Convert to fraction form
    357,371.20/535,862.40 = 147,030.40/x
  3. Step 3: Cross multiply
    357,371.20x = 535,862.40 × 147,030.40
  4. Step 4: Simplify right side
    357,371.20x = 78,788,063,016.96
  5. Step 5: Solve for x
    x = 78,788,063,016.96/357,371.20
  6. Step 6: Final answer
    x = 220,465.62

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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.