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Finding the Fourth Proportional to 360,442.48, 497,372.54 and 199,271.50

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Solution

The fourth proportional to 360,442.48, 497,372.54 and 199,271.50 is: 274,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,442.48 : 497,372.54 = 199,271.50 : x
  2. Step 2: Convert to fraction form
    360,442.48/497,372.54 = 199,271.50/x
  3. Step 3: Cross multiply
    360,442.48x = 497,372.54 × 199,271.50
  4. Step 4: Simplify right side
    360,442.48x = 99,112,172,104.61
  5. Step 5: Solve for x
    x = 99,112,172,104.61/360,442.48
  6. Step 6: Final answer
    x = 274,973.62

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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.