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Finding the Fourth Proportional to 314,228.48, 471,492.96 and 156,470.72

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Solution

The fourth proportional to 314,228.48, 471,492.96 and 156,470.72 is: 234,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,228.48 : 471,492.96 = 156,470.72 : x
  2. Step 2: Convert to fraction form
    314,228.48/471,492.96 = 156,470.72/x
  3. Step 3: Cross multiply
    314,228.48x = 471,492.96 × 156,470.72
  4. Step 4: Simplify right side
    314,228.48x = 73,774,842,926.13
  5. Step 5: Solve for x
    x = 73,774,842,926.13/314,228.48
  6. Step 6: Final answer
    x = 234,780.89

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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.