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Finding the Fourth Proportional to 314,393.10, 471,354.69 and 101,039.25

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Solution

The fourth proportional to 314,393.10, 471,354.69 and 101,039.25 is: 151,483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,393.10 : 471,354.69 = 101,039.25 : x
  2. Step 2: Convert to fraction form
    314,393.10/471,354.69 = 101,039.25/x
  3. Step 3: Cross multiply
    314,393.10x = 471,354.69 × 101,039.25
  4. Step 4: Simplify right side
    314,393.10x = 47,625,323,856.69
  5. Step 5: Solve for x
    x = 47,625,323,856.69/314,393.10
  6. Step 6: Final answer
    x = 151,483.36

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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.