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Finding the Fourth Proportional to 540,316.76, 810,475.14 and 207,815

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Solution

The fourth proportional to 540,316.76, 810,475.14 and 207,815 is: 311,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,316.76 : 810,475.14 = 207,815 : x
  2. Step 2: Convert to fraction form
    540,316.76/810,475.14 = 207,815/x
  3. Step 3: Cross multiply
    540,316.76x = 810,475.14 × 207,815
  4. Step 4: Simplify right side
    540,316.76x = 168,428,891,219.10
  5. Step 5: Solve for x
    x = 168,428,891,219.10/540,316.76
  6. Step 6: Final answer
    x = 311,722.50

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Why These Related Problems?

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