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Finding the Fourth Proportional to 713,342.61, 984,514.19 and 441,498.06

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Solution

The fourth proportional to 713,342.61, 984,514.19 and 441,498.06 is: 609,330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,342.61 : 984,514.19 = 441,498.06 : x
  2. Step 2: Convert to fraction form
    713,342.61/984,514.19 = 441,498.06/x
  3. Step 3: Cross multiply
    713,342.61x = 984,514.19 × 441,498.06
  4. Step 4: Simplify right side
    713,342.61x = 434,661,102,719.98
  5. Step 5: Solve for x
    x = 434,661,102,719.98/713,342.61
  6. Step 6: Final answer
    x = 609,330.07

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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.