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Finding the Fourth Proportional to 654,307.20, 981,752.40 and 299,138.40

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Solution

The fourth proportional to 654,307.20, 981,752.40 and 299,138.40 is: 448,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,307.20 : 981,752.40 = 299,138.40 : x
  2. Step 2: Convert to fraction form
    654,307.20/981,752.40 = 299,138.40/x
  3. Step 3: Cross multiply
    654,307.20x = 981,752.40 × 299,138.40
  4. Step 4: Simplify right side
    654,307.20x = 293,679,842,132.16
  5. Step 5: Solve for x
    x = 293,679,842,132.16/654,307.20
  6. Step 6: Final answer
    x = 448,840.91

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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.