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Finding the Fourth Proportional to 357,013.76, 534,676.32 and 310,011.20

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Solution

The fourth proportional to 357,013.76, 534,676.32 and 310,011.20 is: 464,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,013.76 : 534,676.32 = 310,011.20 : x
  2. Step 2: Convert to fraction form
    357,013.76/534,676.32 = 310,011.20/x
  3. Step 3: Cross multiply
    357,013.76x = 534,676.32 × 310,011.20
  4. Step 4: Simplify right side
    357,013.76x = 165,755,647,574.78
  5. Step 5: Solve for x
    x = 165,755,647,574.78/357,013.76
  6. Step 6: Final answer
    x = 464,283.64

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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.