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Finding the Fourth Proportional to 541,904.52, 747,828.12 and 296,897.98

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Solution

The fourth proportional to 541,904.52, 747,828.12 and 296,897.98 is: 409,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,904.52 : 747,828.12 = 296,897.98 : x
  2. Step 2: Convert to fraction form
    541,904.52/747,828.12 = 296,897.98/x
  3. Step 3: Cross multiply
    541,904.52x = 747,828.12 × 296,897.98
  4. Step 4: Simplify right side
    541,904.52x = 222,028,658,215.20
  5. Step 5: Solve for x
    x = 222,028,658,215.20/541,904.52
  6. Step 6: Final answer
    x = 409,719.15

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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.