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Finding the Fourth Proportional to 343,415.40, 515,123.10 and 296,176.20

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Solution

The fourth proportional to 343,415.40, 515,123.10 and 296,176.20 is: 444,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,415.40 : 515,123.10 = 296,176.20 : x
  2. Step 2: Convert to fraction form
    343,415.40/515,123.10 = 296,176.20/x
  3. Step 3: Cross multiply
    343,415.40x = 515,123.10 × 296,176.20
  4. Step 4: Simplify right side
    343,415.40x = 152,567,202,290.22
  5. Step 5: Solve for x
    x = 152,567,202,290.22/343,415.40
  6. Step 6: Final answer
    x = 444,264.30

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1.5x scale

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.