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Finding the Fourth Proportional to 282,406.60, 423,609.90 and 95,415.40

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Solution

The fourth proportional to 282,406.60, 423,609.90 and 95,415.40 is: 143,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,406.60 : 423,609.90 = 95,415.40 : x
  2. Step 2: Convert to fraction form
    282,406.60/423,609.90 = 95,415.40/x
  3. Step 3: Cross multiply
    282,406.60x = 423,609.90 × 95,415.40
  4. Step 4: Simplify right side
    282,406.60x = 40,418,908,052.46
  5. Step 5: Solve for x
    x = 40,418,908,052.46/282,406.60
  6. Step 6: Final answer
    x = 143,123.10

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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.