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Finding the Fourth Proportional to 540,338.16, 745,759.26 and 314,114.88

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Solution

The fourth proportional to 540,338.16, 745,759.26 and 314,114.88 is: 433,532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,338.16 : 745,759.26 = 314,114.88 : x
  2. Step 2: Convert to fraction form
    540,338.16/745,759.26 = 314,114.88/x
  3. Step 3: Cross multiply
    540,338.16x = 745,759.26 × 314,114.88
  4. Step 4: Simplify right side
    540,338.16x = 234,254,080,463.79
  5. Step 5: Solve for x
    x = 234,254,080,463.79/540,338.16
  6. Step 6: Final answer
    x = 433,532.37

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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.