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Finding the Fourth Proportional to 522,034.10, 783,051.15 and 462,547.70

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Solution

The fourth proportional to 522,034.10, 783,051.15 and 462,547.70 is: 693,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,034.10 : 783,051.15 = 462,547.70 : x
  2. Step 2: Convert to fraction form
    522,034.10/783,051.15 = 462,547.70/x
  3. Step 3: Cross multiply
    522,034.10x = 783,051.15 × 462,547.70
  4. Step 4: Simplify right side
    522,034.10x = 362,198,508,414.86
  5. Step 5: Solve for x
    x = 362,198,508,414.86/522,034.10
  6. Step 6: Final answer
    x = 693,821.55

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Similar ratio
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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.