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Finding the Fourth Proportional to 478,101.50, 659,780.10 and 266,133.50

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Solution

The fourth proportional to 478,101.50, 659,780.10 and 266,133.50 is: 367,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,101.50 : 659,780.10 = 266,133.50 : x
  2. Step 2: Convert to fraction form
    478,101.50/659,780.10 = 266,133.50/x
  3. Step 3: Cross multiply
    478,101.50x = 659,780.10 × 266,133.50
  4. Step 4: Simplify right side
    478,101.50x = 175,589,587,243.35
  5. Step 5: Solve for x
    x = 175,589,587,243.35/478,101.50
  6. Step 6: Final answer
    x = 367,264.25

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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.