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Finding the Fourth Proportional to 824,872.63, 1,138,368.85 and 462,412.92

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Solution

The fourth proportional to 824,872.63, 1,138,368.85 and 462,412.92 is: 638,154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,872.63 : 1,138,368.85 = 462,412.92 : x
  2. Step 2: Convert to fraction form
    824,872.63/1,138,368.85 = 462,412.92/x
  3. Step 3: Cross multiply
    824,872.63x = 1,138,368.85 × 462,412.92
  4. Step 4: Simplify right side
    824,872.63x = 526,396,466,522.46
  5. Step 5: Solve for x
    x = 526,396,466,522.46/824,872.63
  6. Step 6: Final answer
    x = 638,154.84

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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.