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Finding the Fourth Proportional to 520,223.60, 780,335.40 and 146,246.60

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Solution

The fourth proportional to 520,223.60, 780,335.40 and 146,246.60 is: 219,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,223.60 : 780,335.40 = 146,246.60 : x
  2. Step 2: Convert to fraction form
    520,223.60/780,335.40 = 146,246.60/x
  3. Step 3: Cross multiply
    520,223.60x = 780,335.40 × 146,246.60
  4. Step 4: Simplify right side
    520,223.60x = 114,121,399,109.64
  5. Step 5: Solve for x
    x = 114,121,399,109.64/520,223.60
  6. Step 6: Final answer
    x = 219,369.90

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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.