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Finding the Fourth Proportional to 616,638.52, 924,952.98 and 317,203

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Solution

The fourth proportional to 616,638.52, 924,952.98 and 317,203 is: 475,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,638.52 : 924,952.98 = 317,203 : x
  2. Step 2: Convert to fraction form
    616,638.52/924,952.98 = 317,203/x
  3. Step 3: Cross multiply
    616,638.52x = 924,952.98 × 317,203
  4. Step 4: Simplify right side
    616,638.52x = 293,397,860,114.94
  5. Step 5: Solve for x
    x = 293,397,860,114.94/616,638.52
  6. Step 6: Final answer
    x = 475,802.03

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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.