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Finding the Fourth Proportional to 616,008, 924,380.64 and 265,800

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Solution

The fourth proportional to 616,008, 924,380.64 and 265,800 is: 398,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,008 : 924,380.64 = 265,800 : x
  2. Step 2: Convert to fraction form
    616,008/924,380.64 = 265,800/x
  3. Step 3: Cross multiply
    616,008x = 924,380.64 × 265,800
  4. Step 4: Simplify right side
    616,008x = 245,700,374,112
  5. Step 5: Solve for x
    x = 245,700,374,112/616,008
  6. Step 6: Final answer
    x = 398,859.06

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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.