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Finding the Fourth Proportional to 526,075.12, 725,982.24 and 299,722.24

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Solution

The fourth proportional to 526,075.12, 725,982.24 and 299,722.24 is: 413,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,075.12 : 725,982.24 = 299,722.24 : x
  2. Step 2: Convert to fraction form
    526,075.12/725,982.24 = 299,722.24/x
  3. Step 3: Cross multiply
    526,075.12x = 725,982.24 × 299,722.24
  4. Step 4: Simplify right side
    526,075.12x = 217,593,023,173.02
  5. Step 5: Solve for x
    x = 217,593,023,173.02/526,075.12
  6. Step 6: Final answer
    x = 413,615.88

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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.