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Finding the Fourth Proportional to 510,854.58, 705,034.71 and 281,435.38

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Solution

The fourth proportional to 510,854.58, 705,034.71 and 281,435.38 is: 388,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,854.58 : 705,034.71 = 281,435.38 : x
  2. Step 2: Convert to fraction form
    510,854.58/705,034.71 = 281,435.38/x
  3. Step 3: Cross multiply
    510,854.58x = 705,034.71 × 281,435.38
  4. Step 4: Simplify right side
    510,854.58x = 198,421,706,589.69
  5. Step 5: Solve for x
    x = 198,421,706,589.69/510,854.58
  6. Step 6: Final answer
    x = 388,411.33

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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.