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Finding the Fourth Proportional to 592,612.16, 888,733.76 and 198,536

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Solution

The fourth proportional to 592,612.16, 888,733.76 and 198,536 is: 297,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,612.16 : 888,733.76 = 198,536 : x
  2. Step 2: Convert to fraction form
    592,612.16/888,733.76 = 198,536/x
  3. Step 3: Cross multiply
    592,612.16x = 888,733.76 × 198,536
  4. Step 4: Simplify right side
    592,612.16x = 176,445,645,775.36
  5. Step 5: Solve for x
    x = 176,445,645,775.36/592,612.16
  6. Step 6: Final answer
    x = 297,742.20

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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.