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Finding the Fourth Proportional to 387,347.41, 581,054.59 and 106,864.66

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Solution

The fourth proportional to 387,347.41, 581,054.59 and 106,864.66 is: 160,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,347.41 : 581,054.59 = 106,864.66 : x
  2. Step 2: Convert to fraction form
    387,347.41/581,054.59 = 106,864.66/x
  3. Step 3: Cross multiply
    387,347.41x = 581,054.59 × 106,864.66
  4. Step 4: Simplify right side
    387,347.41x = 62,094,201,201.79
  5. Step 5: Solve for x
    x = 62,094,201,201.79/387,347.41
  6. Step 6: Final answer
    x = 160,306.23

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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.