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Finding the Fourth Proportional to 585,574.53, 878,146.64 and 201,214.38

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Solution

The fourth proportional to 585,574.53, 878,146.64 and 201,214.38 is: 301,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,574.53 : 878,146.64 = 201,214.38 : x
  2. Step 2: Convert to fraction form
    585,574.53/878,146.64 = 201,214.38/x
  3. Step 3: Cross multiply
    585,574.53x = 878,146.64 × 201,214.38
  4. Step 4: Simplify right side
    585,574.53x = 176,695,731,465.17
  5. Step 5: Solve for x
    x = 176,695,731,465.17/585,574.53
  6. Step 6: Final answer
    x = 301,747.64

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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.