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Finding the Fourth Proportional to 924,855, 1,387,282.56 and 260,007

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Solution

The fourth proportional to 924,855, 1,387,282.56 and 260,007 is: 390,010.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,855 : 1,387,282.56 = 260,007 : x
  2. Step 2: Convert to fraction form
    924,855/1,387,282.56 = 260,007/x
  3. Step 3: Cross multiply
    924,855x = 1,387,282.56 × 260,007
  4. Step 4: Simplify right side
    924,855x = 360,703,176,577.92
  5. Step 5: Solve for x
    x = 360,703,176,577.92/924,855
  6. Step 6: Final answer
    x = 390,010.52

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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.