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Finding the Fourth Proportional to 520,097.60, 780,088.80 and 146,158.40

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Solution

The fourth proportional to 520,097.60, 780,088.80 and 146,158.40 is: 219,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,097.60 : 780,088.80 = 146,158.40 : x
  2. Step 2: Convert to fraction form
    520,097.60/780,088.80 = 146,158.40/x
  3. Step 3: Cross multiply
    520,097.60x = 780,088.80 × 146,158.40
  4. Step 4: Simplify right side
    520,097.60x = 114,016,530,865.92
  5. Step 5: Solve for x
    x = 114,016,530,865.92/520,097.60
  6. Step 6: Final answer
    x = 219,221.41

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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.