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Finding the Fourth Proportional to 296,280.65, 408,866.16 and 160,314.86

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Solution

The fourth proportional to 296,280.65, 408,866.16 and 160,314.86 is: 221,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,280.65 : 408,866.16 = 160,314.86 : x
  2. Step 2: Convert to fraction form
    296,280.65/408,866.16 = 160,314.86/x
  3. Step 3: Cross multiply
    296,280.65x = 408,866.16 × 160,314.86
  4. Step 4: Simplify right side
    296,280.65x = 65,547,321,199.14
  5. Step 5: Solve for x
    x = 65,547,321,199.14/296,280.65
  6. Step 6: Final answer
    x = 221,233.89

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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.