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Finding the Fourth Proportional to 812,394, 1,121,142.24 and 490,097.18

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Solution

The fourth proportional to 812,394, 1,121,142.24 and 490,097.18 is: 676,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,394 : 1,121,142.24 = 490,097.18 : x
  2. Step 2: Convert to fraction form
    812,394/1,121,142.24 = 490,097.18/x
  3. Step 3: Cross multiply
    812,394x = 1,121,142.24 × 490,097.18
  4. Step 4: Simplify right side
    812,394x = 549,468,653,005.74
  5. Step 5: Solve for x
    x = 549,468,653,005.74/812,394
  6. Step 6: Final answer
    x = 676,357.35

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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.