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Finding the Fourth Proportional to 526,065.12, 725,968.44 and 299,712.24

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Solution

The fourth proportional to 526,065.12, 725,968.44 and 299,712.24 is: 413,602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,065.12 : 725,968.44 = 299,712.24 : x
  2. Step 2: Convert to fraction form
    526,065.12/725,968.44 = 299,712.24/x
  3. Step 3: Cross multiply
    526,065.12x = 725,968.44 × 299,712.24
  4. Step 4: Simplify right side
    526,065.12x = 217,581,627,321.71
  5. Step 5: Solve for x
    x = 217,581,627,321.71/526,065.12
  6. Step 6: Final answer
    x = 413,602.08

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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.