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Finding the Fourth Proportional to 510,842.12, 704,962.28 and 296,106.73

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Solution

The fourth proportional to 510,842.12, 704,962.28 and 296,106.73 is: 408,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,842.12 : 704,962.28 = 296,106.73 : x
  2. Step 2: Convert to fraction form
    510,842.12/704,962.28 = 296,106.73/x
  3. Step 3: Cross multiply
    510,842.12x = 704,962.28 × 296,106.73
  4. Step 4: Simplify right side
    510,842.12x = 208,744,074,482.01
  5. Step 5: Solve for x
    x = 208,744,074,482.01/510,842.12
  6. Step 6: Final answer
    x = 408,627.38

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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.