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Finding the Fourth Proportional to 462,144.40, 637,417.80 and 292,214.80

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Solution

The fourth proportional to 462,144.40, 637,417.80 and 292,214.80 is: 403,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,144.40 : 637,417.80 = 292,214.80 : x
  2. Step 2: Convert to fraction form
    462,144.40/637,417.80 = 292,214.80/x
  3. Step 3: Cross multiply
    462,144.40x = 637,417.80 × 292,214.80
  4. Step 4: Simplify right side
    462,144.40x = 186,262,914,943.44
  5. Step 5: Solve for x
    x = 186,262,914,943.44/462,144.40
  6. Step 6: Final answer
    x = 403,040.51

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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.