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Finding the Fourth Proportional to 510,830.10, 766,245.15 and 431,113.95

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Solution

The fourth proportional to 510,830.10, 766,245.15 and 431,113.95 is: 646,670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,830.10 : 766,245.15 = 431,113.95 : x
  2. Step 2: Convert to fraction form
    510,830.10/766,245.15 = 431,113.95/x
  3. Step 3: Cross multiply
    510,830.10x = 766,245.15 × 431,113.95
  4. Step 4: Simplify right side
    510,830.10x = 330,338,973,284.84
  5. Step 5: Solve for x
    x = 330,338,973,284.84/510,830.10
  6. Step 6: Final answer
    x = 646,670.93

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Similar ratio
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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.