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Finding the Fourth Proportional to 293,156.40, 440,390.70 and 282,002.70

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Solution

The fourth proportional to 293,156.40, 440,390.70 and 282,002.70 is: 423,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,156.40 : 440,390.70 = 282,002.70 : x
  2. Step 2: Convert to fraction form
    293,156.40/440,390.70 = 282,002.70/x
  3. Step 3: Cross multiply
    293,156.40x = 440,390.70 × 282,002.70
  4. Step 4: Simplify right side
    293,156.40x = 124,191,366,454.89
  5. Step 5: Solve for x
    x = 124,191,366,454.89/293,156.40
  6. Step 6: Final answer
    x = 423,635.19

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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.