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Finding the Fourth Proportional to 497,999.90, 747,777.45 and 288,047.90

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Solution

The fourth proportional to 497,999.90, 747,777.45 and 288,047.90 is: 432,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,999.90 : 747,777.45 = 288,047.90 : x
  2. Step 2: Convert to fraction form
    497,999.90/747,777.45 = 288,047.90/x
  3. Step 3: Cross multiply
    497,999.90x = 747,777.45 × 288,047.90
  4. Step 4: Simplify right side
    497,999.90x = 215,395,724,139.86
  5. Step 5: Solve for x
    x = 215,395,724,139.86/497,999.90
  6. Step 6: Final answer
    x = 432,521.62

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1.5x scale

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.