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Finding the Fourth Proportional to 924,856, 1,387,284.06 and 260,008

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Solution

The fourth proportional to 924,856, 1,387,284.06 and 260,008 is: 390,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,856 : 1,387,284.06 = 260,008 : x
  2. Step 2: Convert to fraction form
    924,856/1,387,284.06 = 260,008/x
  3. Step 3: Cross multiply
    924,856x = 1,387,284.06 × 260,008
  4. Step 4: Simplify right side
    924,856x = 360,704,953,872.48
  5. Step 5: Solve for x
    x = 360,704,953,872.48/924,856
  6. Step 6: Final answer
    x = 390,012.02

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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.