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Finding the Fourth Proportional to 402,004.90, 602,488.95 and 244,065.70

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Solution

The fourth proportional to 402,004.90, 602,488.95 and 244,065.70 is: 365,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,004.90 : 602,488.95 = 244,065.70 : x
  2. Step 2: Convert to fraction form
    402,004.90/602,488.95 = 244,065.70/x
  3. Step 3: Cross multiply
    402,004.90x = 602,488.95 × 244,065.70
  4. Step 4: Simplify right side
    402,004.90x = 147,046,887,324.02
  5. Step 5: Solve for x
    x = 147,046,887,324.02/402,004.90
  6. Step 6: Final answer
    x = 365,783.82

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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.