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Finding the Fourth Proportional to 541,430.64, 747,165.24 and 299,708.10

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Solution

The fourth proportional to 541,430.64, 747,165.24 and 299,708.10 is: 413,592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,430.64 : 747,165.24 = 299,708.10 : x
  2. Step 2: Convert to fraction form
    541,430.64/747,165.24 = 299,708.10/x
  3. Step 3: Cross multiply
    541,430.64x = 747,165.24 × 299,708.10
  4. Step 4: Simplify right side
    541,430.64x = 223,931,474,466.44
  5. Step 5: Solve for x
    x = 223,931,474,466.44/541,430.64
  6. Step 6: Final answer
    x = 413,592.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.