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Finding the Fourth Proportional to 360,684.74, 497,701.65 and 207,772.94

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Solution

The fourth proportional to 360,684.74, 497,701.65 and 207,772.94 is: 286,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,684.74 : 497,701.65 = 207,772.94 : x
  2. Step 2: Convert to fraction form
    360,684.74/497,701.65 = 207,772.94/x
  3. Step 3: Cross multiply
    360,684.74x = 497,701.65 × 207,772.94
  4. Step 4: Simplify right side
    360,684.74x = 103,408,932,574.84
  5. Step 5: Solve for x
    x = 103,408,932,574.84/360,684.74
  6. Step 6: Final answer
    x = 286,701.72

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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.