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Finding the Fourth Proportional to 535,097.16, 802,222.31 and 265,034.10

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Solution

The fourth proportional to 535,097.16, 802,222.31 and 265,034.10 is: 397,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,097.16 : 802,222.31 = 265,034.10 : x
  2. Step 2: Convert to fraction form
    535,097.16/802,222.31 = 265,034.10/x
  3. Step 3: Cross multiply
    535,097.16x = 802,222.31 × 265,034.10
  4. Step 4: Simplify right side
    535,097.16x = 212,616,266,605.60
  5. Step 5: Solve for x
    x = 212,616,266,605.60/535,097.16
  6. Step 6: Final answer
    x = 397,341.42

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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.