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Finding the Fourth Proportional to 314,592.58, 471,708.96 and 146,026.18

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Solution

The fourth proportional to 314,592.58, 471,708.96 and 146,026.18 is: 218,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,592.58 : 471,708.96 = 146,026.18 : x
  2. Step 2: Convert to fraction form
    314,592.58/471,708.96 = 146,026.18/x
  3. Step 3: Cross multiply
    314,592.58x = 471,708.96 × 146,026.18
  4. Step 4: Simplify right side
    314,592.58x = 68,881,857,500.57
  5. Step 5: Solve for x
    x = 68,881,857,500.57/314,592.58
  6. Step 6: Final answer
    x = 218,955.76

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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.