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Finding the Fourth Proportional to 541,152.40, 810,841.96 and 288,164.28

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Solution

The fourth proportional to 541,152.40, 810,841.96 and 288,164.28 is: 431,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,152.40 : 810,841.96 = 288,164.28 : x
  2. Step 2: Convert to fraction form
    541,152.40/810,841.96 = 288,164.28/x
  3. Step 3: Cross multiply
    541,152.40x = 810,841.96 × 288,164.28
  4. Step 4: Simplify right side
    541,152.40x = 233,655,689,597.19
  5. Step 5: Solve for x
    x = 233,655,689,597.19/541,152.40
  6. Step 6: Final answer
    x = 431,774.28

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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.