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Finding the Fourth Proportional to 305,159.40, 457,739.10 and 288,052.20

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Solution

The fourth proportional to 305,159.40, 457,739.10 and 288,052.20 is: 432,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,159.40 : 457,739.10 = 288,052.20 : x
  2. Step 2: Convert to fraction form
    305,159.40/457,739.10 = 288,052.20/x
  3. Step 3: Cross multiply
    305,159.40x = 457,739.10 × 288,052.20
  4. Step 4: Simplify right side
    305,159.40x = 131,852,754,781.02
  5. Step 5: Solve for x
    x = 131,852,754,781.02/305,159.40
  6. Step 6: Final answer
    x = 432,078.30

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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.