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Finding the Fourth Proportional to 301,734.62, 452,601.86 and 77,095.47

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Solution

The fourth proportional to 301,734.62, 452,601.86 and 77,095.47 is: 115,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,734.62 : 452,601.86 = 77,095.47 : x
  2. Step 2: Convert to fraction form
    301,734.62/452,601.86 = 77,095.47/x
  3. Step 3: Cross multiply
    301,734.62x = 452,601.86 × 77,095.47
  4. Step 4: Simplify right side
    301,734.62x = 34,893,552,734.10
  5. Step 5: Solve for x
    x = 34,893,552,734.10/301,734.62
  6. Step 6: Final answer
    x = 115,643.19

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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.