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Finding the Fourth Proportional to 288,836.52, 433,264.65 and 99,295.26

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Solution

The fourth proportional to 288,836.52, 433,264.65 and 99,295.26 is: 148,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,836.52 : 433,264.65 = 99,295.26 : x
  2. Step 2: Convert to fraction form
    288,836.52/433,264.65 = 99,295.26/x
  3. Step 3: Cross multiply
    288,836.52x = 433,264.65 × 99,295.26
  4. Step 4: Simplify right side
    288,836.52x = 43,021,126,070.56
  5. Step 5: Solve for x
    x = 43,021,126,070.56/288,836.52
  6. Step 6: Final answer
    x = 148,946.28

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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.