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Finding the Fourth Proportional to 398,567.10, 597,645.45 and 118,047.90

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Solution

The fourth proportional to 398,567.10, 597,645.45 and 118,047.90 is: 177,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,567.10 : 597,645.45 = 118,047.90 : x
  2. Step 2: Convert to fraction form
    398,567.10/597,645.45 = 118,047.90/x
  3. Step 3: Cross multiply
    398,567.10x = 597,645.45 × 118,047.90
  4. Step 4: Simplify right side
    398,567.10x = 70,550,790,317.06
  5. Step 5: Solve for x
    x = 70,550,790,317.06/398,567.10
  6. Step 6: Final answer
    x = 177,011.07

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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.