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Finding the Fourth Proportional to 353,646.92, 530,465.16 and 87,407.46

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Solution

The fourth proportional to 353,646.92, 530,465.16 and 87,407.46 is: 131,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,646.92 : 530,465.16 = 87,407.46 : x
  2. Step 2: Convert to fraction form
    353,646.92/530,465.16 = 87,407.46/x
  3. Step 3: Cross multiply
    353,646.92x = 530,465.16 × 87,407.46
  4. Step 4: Simplify right side
    353,646.92x = 46,366,612,254.09
  5. Step 5: Solve for x
    x = 46,366,612,254.09/353,646.92
  6. Step 6: Final answer
    x = 131,109.90

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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.