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Finding the Fourth Proportional to 402,002.40, 602,485.20 and 244,063.20

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Solution

The fourth proportional to 402,002.40, 602,485.20 and 244,063.20 is: 365,780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,002.40 : 602,485.20 = 244,063.20 : x
  2. Step 2: Convert to fraction form
    402,002.40/602,485.20 = 244,063.20/x
  3. Step 3: Cross multiply
    402,002.40x = 602,485.20 × 244,063.20
  4. Step 4: Simplify right side
    402,002.40x = 147,044,465,864.64
  5. Step 5: Solve for x
    x = 147,044,465,864.64/402,002.40
  6. Step 6: Final answer
    x = 365,780.07

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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.