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Finding the Fourth Proportional to 616,010, 924,383.64 and 265,802

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Solution

The fourth proportional to 616,010, 924,383.64 and 265,802 is: 398,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,010 : 924,383.64 = 265,802 : x
  2. Step 2: Convert to fraction form
    616,010/924,383.64 = 265,802/x
  3. Step 3: Cross multiply
    616,010x = 924,383.64 × 265,802
  4. Step 4: Simplify right side
    616,010x = 245,703,020,279.28
  5. Step 5: Solve for x
    x = 245,703,020,279.28/616,010
  6. Step 6: Final answer
    x = 398,862.06

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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.