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Finding the Fourth Proportional to 497,200.80, 745,801.20 and 217,264.80

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Solution

The fourth proportional to 497,200.80, 745,801.20 and 217,264.80 is: 325,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,200.80 : 745,801.20 = 217,264.80 : x
  2. Step 2: Convert to fraction form
    497,200.80/745,801.20 = 217,264.80/x
  3. Step 3: Cross multiply
    497,200.80x = 745,801.20 × 217,264.80
  4. Step 4: Simplify right side
    497,200.80x = 162,036,348,557.76
  5. Step 5: Solve for x
    x = 162,036,348,557.76/497,200.80
  6. Step 6: Final answer
    x = 325,897.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.