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Finding the Fourth Proportional to 520,177.20, 780,265.80 and 146,200.20

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Solution

The fourth proportional to 520,177.20, 780,265.80 and 146,200.20 is: 219,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,177.20 : 780,265.80 = 146,200.20 : x
  2. Step 2: Convert to fraction form
    520,177.20/780,265.80 = 146,200.20/x
  3. Step 3: Cross multiply
    520,177.20x = 780,265.80 × 146,200.20
  4. Step 4: Simplify right side
    520,177.20x = 114,075,016,013.16
  5. Step 5: Solve for x
    x = 114,075,016,013.16/520,177.20
  6. Step 6: Final answer
    x = 219,300.30

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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.