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Finding the Fourth Proportional to 286,685.52, 430,360.56 and 153,825.72

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Solution

The fourth proportional to 286,685.52, 430,360.56 and 153,825.72 is: 230,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,685.52 : 430,360.56 = 153,825.72 : x
  2. Step 2: Convert to fraction form
    286,685.52/430,360.56 = 153,825.72/x
  3. Step 3: Cross multiply
    286,685.52x = 430,360.56 × 153,825.72
  4. Step 4: Simplify right side
    286,685.52x = 66,200,523,001.60
  5. Step 5: Solve for x
    x = 66,200,523,001.60/286,685.52
  6. Step 6: Final answer
    x = 230,916.87

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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.