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Finding the Fourth Proportional to 353,000.16, 487,140.48 and 202,098.24

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Solution

The fourth proportional to 353,000.16, 487,140.48 and 202,098.24 is: 278,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,000.16 : 487,140.48 = 202,098.24 : x
  2. Step 2: Convert to fraction form
    353,000.16/487,140.48 = 202,098.24/x
  3. Step 3: Cross multiply
    353,000.16x = 487,140.48 × 202,098.24
  4. Step 4: Simplify right side
    353,000.16x = 98,450,233,640.76
  5. Step 5: Solve for x
    x = 98,450,233,640.76/353,000.16
  6. Step 6: Final answer
    x = 278,895.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.