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Finding the Fourth Proportional to 398,256.80, 596,510.40 and 240,209.60

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Solution

The fourth proportional to 398,256.80, 596,510.40 and 240,209.60 is: 359,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,256.80 : 596,510.40 = 240,209.60 : x
  2. Step 2: Convert to fraction form
    398,256.80/596,510.40 = 240,209.60/x
  3. Step 3: Cross multiply
    398,256.80x = 596,510.40 × 240,209.60
  4. Step 4: Simplify right side
    398,256.80x = 143,287,524,579.84
  5. Step 5: Solve for x
    x = 143,287,524,579.84/398,256.80
  6. Step 6: Final answer
    x = 359,786.76

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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.