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Finding the Fourth Proportional to 614,869.20, 921,866.40 and 235,643.40

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Solution

The fourth proportional to 614,869.20, 921,866.40 and 235,643.40 is: 353,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,869.20 : 921,866.40 = 235,643.40 : x
  2. Step 2: Convert to fraction form
    614,869.20/921,866.40 = 235,643.40/x
  3. Step 3: Cross multiply
    614,869.20x = 921,866.40 × 235,643.40
  4. Step 4: Simplify right side
    614,869.20x = 217,231,732,841.76
  5. Step 5: Solve for x
    x = 217,231,732,841.76/614,869.20
  6. Step 6: Final answer
    x = 353,297.47

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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.