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Finding the Fourth Proportional to 465,633.60, 698,547.60 and 265,790.40

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Solution

The fourth proportional to 465,633.60, 698,547.60 and 265,790.40 is: 398,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,633.60 : 698,547.60 = 265,790.40 : x
  2. Step 2: Convert to fraction form
    465,633.60/698,547.60 = 265,790.40/x
  3. Step 3: Cross multiply
    465,633.60x = 698,547.60 × 265,790.40
  4. Step 4: Simplify right side
    465,633.60x = 185,667,246,023.04
  5. Step 5: Solve for x
    x = 185,667,246,023.04/465,633.60
  6. Step 6: Final answer
    x = 398,741.08

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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.