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Finding the Fourth Proportional to 442,806.85, 611,022.99 and 249,177.16

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Solution

The fourth proportional to 442,806.85, 611,022.99 and 249,177.16 is: 343,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,806.85 : 611,022.99 = 249,177.16 : x
  2. Step 2: Convert to fraction form
    442,806.85/611,022.99 = 249,177.16/x
  3. Step 3: Cross multiply
    442,806.85x = 611,022.99 × 249,177.16
  4. Step 4: Simplify right side
    442,806.85x = 152,252,973,342.91
  5. Step 5: Solve for x
    x = 152,252,973,342.91/442,806.85
  6. Step 6: Final answer
    x = 343,836.08

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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.