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Finding the Fourth Proportional to 565,605.96, 780,541.56 and 310,959

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Solution

The fourth proportional to 565,605.96, 780,541.56 and 310,959 is: 429,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,605.96 : 780,541.56 = 310,959 : x
  2. Step 2: Convert to fraction form
    565,605.96/780,541.56 = 310,959/x
  3. Step 3: Cross multiply
    565,605.96x = 780,541.56 × 310,959
  4. Step 4: Simplify right side
    565,605.96x = 242,716,422,956.04
  5. Step 5: Solve for x
    x = 242,716,422,956.04/565,605.96
  6. Step 6: Final answer
    x = 429,126.35

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