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Finding the Fourth Proportional to 410,003.60, 564,965.16 and 302,403.20

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Solution

The fourth proportional to 410,003.60, 564,965.16 and 302,403.20 is: 416,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,003.60 : 564,965.16 = 302,403.20 : x
  2. Step 2: Convert to fraction form
    410,003.60/564,965.16 = 302,403.20/x
  3. Step 3: Cross multiply
    410,003.60x = 564,965.16 × 302,403.20
  4. Step 4: Simplify right side
    410,003.60x = 170,847,272,272.51
  5. Step 5: Solve for x
    x = 170,847,272,272.51/410,003.60
  6. Step 6: Final answer
    x = 416,697.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.