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Finding the Fourth Proportional to 598,358.16, 896,848.20 and 242,982

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Solution

The fourth proportional to 598,358.16, 896,848.20 and 242,982 is: 364,193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,358.16 : 896,848.20 = 242,982 : x
  2. Step 2: Convert to fraction form
    598,358.16/896,848.20 = 242,982/x
  3. Step 3: Cross multiply
    598,358.16x = 896,848.20 × 242,982
  4. Step 4: Simplify right side
    598,358.16x = 217,917,969,332.40
  5. Step 5: Solve for x
    x = 217,917,969,332.40/598,358.16
  6. Step 6: Final answer
    x = 364,193.19

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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.