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Finding the Fourth Proportional to 402,415.30, 602,748.15 and 244,368.10

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Solution

The fourth proportional to 402,415.30, 602,748.15 and 244,368.10 is: 366,020.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,415.30 : 602,748.15 = 244,368.10 : x
  2. Step 2: Convert to fraction form
    402,415.30/602,748.15 = 244,368.10/x
  3. Step 3: Cross multiply
    402,415.30x = 602,748.15 × 244,368.10
  4. Step 4: Simplify right side
    402,415.30x = 147,292,420,194.02
  5. Step 5: Solve for x
    x = 147,292,420,194.02/402,415.30
  6. Step 6: Final answer
    x = 366,020.92

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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.