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Finding the Fourth Proportional to 390,454.46, 585,827.48 and 153,962

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Solution

The fourth proportional to 390,454.46, 585,827.48 and 153,962 is: 231,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,454.46 : 585,827.48 = 153,962 : x
  2. Step 2: Convert to fraction form
    390,454.46/585,827.48 = 153,962/x
  3. Step 3: Cross multiply
    390,454.46x = 585,827.48 × 153,962
  4. Step 4: Simplify right side
    390,454.46x = 90,195,170,475.76
  5. Step 5: Solve for x
    x = 90,195,170,475.76/390,454.46
  6. Step 6: Final answer
    x = 231,000.49

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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.