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Finding the Fourth Proportional to 520,027.60, 780,041.40 and 431,381.20

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Solution

The fourth proportional to 520,027.60, 780,041.40 and 431,381.20 is: 647,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,027.60 : 780,041.40 = 431,381.20 : x
  2. Step 2: Convert to fraction form
    520,027.60/780,041.40 = 431,381.20/x
  3. Step 3: Cross multiply
    520,027.60x = 780,041.40 × 431,381.20
  4. Step 4: Simplify right side
    520,027.60x = 336,495,195,181.68
  5. Step 5: Solve for x
    x = 336,495,195,181.68/520,027.60
  6. Step 6: Final answer
    x = 647,071.80

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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.