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Finding the Fourth Proportional to 315,213.20, 472,387.80 and 202,547.60

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Solution

The fourth proportional to 315,213.20, 472,387.80 and 202,547.60 is: 303,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,213.20 : 472,387.80 = 202,547.60 : x
  2. Step 2: Convert to fraction form
    315,213.20/472,387.80 = 202,547.60/x
  3. Step 3: Cross multiply
    315,213.20x = 472,387.80 × 202,547.60
  4. Step 4: Simplify right side
    315,213.20x = 95,681,015,159.28
  5. Step 5: Solve for x
    x = 95,681,015,159.28/315,213.20
  6. Step 6: Final answer
    x = 303,543.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.