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Finding the Fourth Proportional to 314,045.81, 471,253.32 and 114,378.24

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Solution

The fourth proportional to 314,045.81, 471,253.32 and 114,378.24 is: 171,634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,045.81 : 471,253.32 = 114,378.24 : x
  2. Step 2: Convert to fraction form
    314,045.81/471,253.32 = 114,378.24/x
  3. Step 3: Cross multiply
    314,045.81x = 471,253.32 × 114,378.24
  4. Step 4: Simplify right side
    314,045.81x = 53,901,125,335.76
  5. Step 5: Solve for x
    x = 53,901,125,335.76/314,045.81
  6. Step 6: Final answer
    x = 171,634.60

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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.