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Finding the Fourth Proportional to 550,854.08, 826,318.72 and 176,854.40

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Solution

The fourth proportional to 550,854.08, 826,318.72 and 176,854.40 is: 265,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,854.08 : 826,318.72 = 176,854.40 : x
  2. Step 2: Convert to fraction form
    550,854.08/826,318.72 = 176,854.40/x
  3. Step 3: Cross multiply
    550,854.08x = 826,318.72 × 176,854.40
  4. Step 4: Simplify right side
    550,854.08x = 146,138,101,434.37
  5. Step 5: Solve for x
    x = 146,138,101,434.37/550,854.08
  6. Step 6: Final answer
    x = 265,293.67

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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.