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Finding the Fourth Proportional to 462,141.90, 637,414.65 and 292,212

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Solution

The fourth proportional to 462,141.90, 637,414.65 and 292,212 is: 403,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,141.90 : 637,414.65 = 292,212 : x
  2. Step 2: Convert to fraction form
    462,141.90/637,414.65 = 292,212/x
  3. Step 3: Cross multiply
    462,141.90x = 637,414.65 × 292,212
  4. Step 4: Simplify right side
    462,141.90x = 186,260,209,705.80
  5. Step 5: Solve for x
    x = 186,260,209,705.80/462,141.90
  6. Step 6: Final answer
    x = 403,036.84

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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.