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Finding the Fourth Proportional to 314,407.20, 471,465.54 and 101,135.55

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Solution

The fourth proportional to 314,407.20, 471,465.54 and 101,135.55 is: 151,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,407.20 : 471,465.54 = 101,135.55 : x
  2. Step 2: Convert to fraction form
    314,407.20/471,465.54 = 101,135.55/x
  3. Step 3: Cross multiply
    314,407.20x = 471,465.54 × 101,135.55
  4. Step 4: Simplify right side
    314,407.20x = 47,681,926,693.95
  5. Step 5: Solve for x
    x = 47,681,926,693.95/314,407.20
  6. Step 6: Final answer
    x = 151,656.60

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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.