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Finding the Fourth Proportional to 287,123.84, 430,652.96 and 76,778.18

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Solution

The fourth proportional to 287,123.84, 430,652.96 and 76,778.18 is: 115,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,123.84 : 430,652.96 = 76,778.18 : x
  2. Step 2: Convert to fraction form
    287,123.84/430,652.96 = 76,778.18/x
  3. Step 3: Cross multiply
    287,123.84x = 430,652.96 × 76,778.18
  4. Step 4: Simplify right side
    287,123.84x = 33,064,750,096.52
  5. Step 5: Solve for x
    x = 33,064,750,096.52/287,123.84
  6. Step 6: Final answer
    x = 115,158.50

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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.