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Finding the Fourth Proportional to 616,541, 924,811.50 and 173,309

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Solution

The fourth proportional to 616,541, 924,811.50 and 173,309 is: 259,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,541 : 924,811.50 = 173,309 : x
  2. Step 2: Convert to fraction form
    616,541/924,811.50 = 173,309/x
  3. Step 3: Cross multiply
    616,541x = 924,811.50 × 173,309
  4. Step 4: Simplify right side
    616,541x = 160,278,156,253.50
  5. Step 5: Solve for x
    x = 160,278,156,253.50/616,541
  6. Step 6: Final answer
    x = 259,963.50

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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.