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Finding the Fourth Proportional to 369,893.76, 509,988.66 and 301,841.61

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Solution

The fourth proportional to 369,893.76, 509,988.66 and 301,841.61 is: 416,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,893.76 : 509,988.66 = 301,841.61 : x
  2. Step 2: Convert to fraction form
    369,893.76/509,988.66 = 301,841.61/x
  3. Step 3: Cross multiply
    369,893.76x = 509,988.66 × 301,841.61
  4. Step 4: Simplify right side
    369,893.76x = 153,935,798,216.14
  5. Step 5: Solve for x
    x = 153,935,798,216.14/369,893.76
  6. Step 6: Final answer
    x = 416,162.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.