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Finding the Fourth Proportional to 520,168.50, 780,252.75 and 146,191.50

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Solution

The fourth proportional to 520,168.50, 780,252.75 and 146,191.50 is: 219,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,168.50 : 780,252.75 = 146,191.50 : x
  2. Step 2: Convert to fraction form
    520,168.50/780,252.75 = 146,191.50/x
  3. Step 3: Cross multiply
    520,168.50x = 780,252.75 × 146,191.50
  4. Step 4: Simplify right side
    520,168.50x = 114,066,319,901.63
  5. Step 5: Solve for x
    x = 114,066,319,901.63/520,168.50
  6. Step 6: Final answer
    x = 219,287.25

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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.