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Finding the Fourth Proportional to 314,618.32, 471,642.28 and 156,895.12

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Solution

The fourth proportional to 314,618.32, 471,642.28 and 156,895.12 is: 235,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,618.32 : 471,642.28 = 156,895.12 : x
  2. Step 2: Convert to fraction form
    314,618.32/471,642.28 = 156,895.12/x
  3. Step 3: Cross multiply
    314,618.32x = 471,642.28 × 156,895.12
  4. Step 4: Simplify right side
    314,618.32x = 73,998,372,117.67
  5. Step 5: Solve for x
    x = 73,998,372,117.67/314,618.32
  6. Step 6: Final answer
    x = 235,200.46

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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.