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Finding the Fourth Proportional to 442,807.85, 611,024.37 and 249,178.16

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Solution

The fourth proportional to 442,807.85, 611,024.37 and 249,178.16 is: 343,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,807.85 : 611,024.37 = 249,178.16 : x
  2. Step 2: Convert to fraction form
    442,807.85/611,024.37 = 249,178.16/x
  3. Step 3: Cross multiply
    442,807.85x = 611,024.37 × 249,178.16
  4. Step 4: Simplify right side
    442,807.85x = 152,253,928,231.76
  5. Step 5: Solve for x
    x = 152,253,928,231.76/442,807.85
  6. Step 6: Final answer
    x = 343,837.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.