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Finding the Fourth Proportional to 438,427.80, 657,641.70 and 296,710.20

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Solution

The fourth proportional to 438,427.80, 657,641.70 and 296,710.20 is: 445,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,427.80 : 657,641.70 = 296,710.20 : x
  2. Step 2: Convert to fraction form
    438,427.80/657,641.70 = 296,710.20/x
  3. Step 3: Cross multiply
    438,427.80x = 657,641.70 × 296,710.20
  4. Step 4: Simplify right side
    438,427.80x = 195,129,000,335.34
  5. Step 5: Solve for x
    x = 195,129,000,335.34/438,427.80
  6. Step 6: Final answer
    x = 445,065.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.