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Finding the Fourth Proportional to 674,594, 929,857.04 and 456,733.20

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Solution

The fourth proportional to 674,594, 929,857.04 and 456,733.20 is: 629,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,594 : 929,857.04 = 456,733.20 : x
  2. Step 2: Convert to fraction form
    674,594/929,857.04 = 456,733.20/x
  3. Step 3: Cross multiply
    674,594x = 929,857.04 × 456,733.20
  4. Step 4: Simplify right side
    674,594x = 424,696,581,421.73
  5. Step 5: Solve for x
    x = 424,696,581,421.73/674,594
  6. Step 6: Final answer
    x = 629,558.79

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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.