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Finding the Fourth Proportional to 616,017, 924,394.14 and 265,809

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Solution

The fourth proportional to 616,017, 924,394.14 and 265,809 is: 398,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,017 : 924,394.14 = 265,809 : x
  2. Step 2: Convert to fraction form
    616,017/924,394.14 = 265,809/x
  3. Step 3: Cross multiply
    616,017x = 924,394.14 × 265,809
  4. Step 4: Simplify right side
    616,017x = 245,712,281,959.26
  5. Step 5: Solve for x
    x = 245,712,281,959.26/616,017
  6. Step 6: Final answer
    x = 398,872.57

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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.