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Finding the Fourth Proportional to 514,171.83, 771,552.93 and 401,535.93

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Solution

The fourth proportional to 514,171.83, 771,552.93 and 401,535.93 is: 602,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,171.83 : 771,552.93 = 401,535.93 : x
  2. Step 2: Convert to fraction form
    514,171.83/771,552.93 = 401,535.93/x
  3. Step 3: Cross multiply
    514,171.83x = 771,552.93 × 401,535.93
  4. Step 4: Simplify right side
    514,171.83x = 309,806,223,291.78
  5. Step 5: Solve for x
    x = 309,806,223,291.78/514,171.83
  6. Step 6: Final answer
    x = 602,534.42

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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.