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Finding the Fourth Proportional to 526,075.80, 725,984.16 and 284,358.38

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Solution

The fourth proportional to 526,075.80, 725,984.16 and 284,358.38 is: 392,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,075.80 : 725,984.16 = 284,358.38 : x
  2. Step 2: Convert to fraction form
    526,075.80/725,984.16 = 284,358.38/x
  3. Step 3: Cross multiply
    526,075.80x = 725,984.16 × 284,358.38
  4. Step 4: Simplify right side
    526,075.80x = 206,439,679,643.26
  5. Step 5: Solve for x
    x = 206,439,679,643.26/526,075.80
  6. Step 6: Final answer
    x = 392,414.32

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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.