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Finding the Fourth Proportional to 511,707.60, 767,561.40 and 137,730.60

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Solution

The fourth proportional to 511,707.60, 767,561.40 and 137,730.60 is: 206,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,707.60 : 767,561.40 = 137,730.60 : x
  2. Step 2: Convert to fraction form
    511,707.60/767,561.40 = 137,730.60/x
  3. Step 3: Cross multiply
    511,707.60x = 767,561.40 × 137,730.60
  4. Step 4: Simplify right side
    511,707.60x = 105,716,692,158.84
  5. Step 5: Solve for x
    x = 105,716,692,158.84/511,707.60
  6. Step 6: Final answer
    x = 206,595.90

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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.