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Finding the Fourth Proportional to 541,418.40, 747,148.32 and 299,695.77

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Solution

The fourth proportional to 541,418.40, 747,148.32 and 299,695.77 is: 413,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,418.40 : 747,148.32 = 299,695.77 : x
  2. Step 2: Convert to fraction form
    541,418.40/747,148.32 = 299,695.77/x
  3. Step 3: Cross multiply
    541,418.40x = 747,148.32 × 299,695.77
  4. Step 4: Simplify right side
    541,418.40x = 223,917,191,066.61
  5. Step 5: Solve for x
    x = 223,917,191,066.61/541,418.40
  6. Step 6: Final answer
    x = 413,575.14

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1.5x scale

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.