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Finding the Fourth Proportional to 924,850, 1,387,275.06 and 260,002

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Solution

The fourth proportional to 924,850, 1,387,275.06 and 260,002 is: 390,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,850 : 1,387,275.06 = 260,002 : x
  2. Step 2: Convert to fraction form
    924,850/1,387,275.06 = 260,002/x
  3. Step 3: Cross multiply
    924,850x = 1,387,275.06 × 260,002
  4. Step 4: Simplify right side
    924,850x = 360,694,290,150.12
  5. Step 5: Solve for x
    x = 360,694,290,150.12/924,850
  6. Step 6: Final answer
    x = 390,003.02

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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.