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Finding the Fourth Proportional to 282,596.32, 424,039.88 and 156,213.12

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Solution

The fourth proportional to 282,596.32, 424,039.88 and 156,213.12 is: 234,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,596.32 : 424,039.88 = 156,213.12 : x
  2. Step 2: Convert to fraction form
    282,596.32/424,039.88 = 156,213.12/x
  3. Step 3: Cross multiply
    282,596.32x = 424,039.88 × 156,213.12
  4. Step 4: Simplify right side
    282,596.32x = 66,240,592,659.23
  5. Step 5: Solve for x
    x = 66,240,592,659.23/282,596.32
  6. Step 6: Final answer
    x = 234,400.05

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1.5x scale

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.