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Finding the Fourth Proportional to 286,807.80, 430,211.70 and 153,947.55

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Solution

The fourth proportional to 286,807.80, 430,211.70 and 153,947.55 is: 230,921.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,807.80 : 430,211.70 = 153,947.55 : x
  2. Step 2: Convert to fraction form
    286,807.80/430,211.70 = 153,947.55/x
  3. Step 3: Cross multiply
    286,807.80x = 430,211.70 × 153,947.55
  4. Step 4: Simplify right side
    286,807.80x = 66,230,037,196.34
  5. Step 5: Solve for x
    x = 66,230,037,196.34/286,807.80
  6. Step 6: Final answer
    x = 230,921.33

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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.