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Finding the Fourth Proportional to 543,706.10, 750,231.02 and 314,219.07

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Solution

The fourth proportional to 543,706.10, 750,231.02 and 314,219.07 is: 433,574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,706.10 : 750,231.02 = 314,219.07 : x
  2. Step 2: Convert to fraction form
    543,706.10/750,231.02 = 314,219.07/x
  3. Step 3: Cross multiply
    543,706.10x = 750,231.02 × 314,219.07
  4. Step 4: Simplify right side
    543,706.10x = 235,736,893,389.55
  5. Step 5: Solve for x
    x = 235,736,893,389.55/543,706.10
  6. Step 6: Final answer
    x = 433,574.12

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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.