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Finding the Fourth Proportional to 402,026.80, 602,521.80 and 308,066.80

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Solution

The fourth proportional to 402,026.80, 602,521.80 and 308,066.80 is: 461,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,026.80 : 602,521.80 = 308,066.80 : x
  2. Step 2: Convert to fraction form
    402,026.80/602,521.80 = 308,066.80/x
  3. Step 3: Cross multiply
    402,026.80x = 602,521.80 × 308,066.80
  4. Step 4: Simplify right side
    402,026.80x = 185,616,962,856.24
  5. Step 5: Solve for x
    x = 185,616,962,856.24/402,026.80
  6. Step 6: Final answer
    x = 461,702.96

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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.