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Finding the Fourth Proportional to 281,070, 422,032.55 and 245,511

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Solution

The fourth proportional to 281,070, 422,032.55 and 245,511 is: 368,639.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,070 : 422,032.55 = 245,511 : x
  2. Step 2: Convert to fraction form
    281,070/422,032.55 = 245,511/x
  3. Step 3: Cross multiply
    281,070x = 422,032.55 × 245,511
  4. Step 4: Simplify right side
    281,070x = 103,613,632,155.50
  5. Step 5: Solve for x
    x = 103,613,632,155.50/281,070
  6. Step 6: Final answer
    x = 368,639.96

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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.