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Finding the Fourth Proportional to 520,017, 780,025.50 and 126,033

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Solution

The fourth proportional to 520,017, 780,025.50 and 126,033 is: 189,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,017 : 780,025.50 = 126,033 : x
  2. Step 2: Convert to fraction form
    520,017/780,025.50 = 126,033/x
  3. Step 3: Cross multiply
    520,017x = 780,025.50 × 126,033
  4. Step 4: Simplify right side
    520,017x = 98,308,953,841.50
  5. Step 5: Solve for x
    x = 98,308,953,841.50/520,017
  6. Step 6: Final answer
    x = 189,049.50

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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.