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Finding the Fourth Proportional to 516,570.30, 774,964.80 and 156,711.60

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Solution

The fourth proportional to 516,570.30, 774,964.80 and 156,711.60 is: 235,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,570.30 : 774,964.80 = 156,711.60 : x
  2. Step 2: Convert to fraction form
    516,570.30/774,964.80 = 156,711.60/x
  3. Step 3: Cross multiply
    516,570.30x = 774,964.80 × 156,711.60
  4. Step 4: Simplify right side
    516,570.30x = 121,445,973,751.68
  5. Step 5: Solve for x
    x = 121,445,973,751.68/516,570.30
  6. Step 6: Final answer
    x = 235,100.57

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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.