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Finding the Fourth Proportional to 362,712.84, 500,533.19 and 207,658.95

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Solution

The fourth proportional to 362,712.84, 500,533.19 and 207,658.95 is: 286,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,712.84 : 500,533.19 = 207,658.95 : x
  2. Step 2: Convert to fraction form
    362,712.84/500,533.19 = 207,658.95/x
  3. Step 3: Cross multiply
    362,712.84x = 500,533.19 × 207,658.95
  4. Step 4: Simplify right side
    362,712.84x = 103,940,196,156.40
  5. Step 5: Solve for x
    x = 103,940,196,156.40/362,712.84
  6. Step 6: Final answer
    x = 286,563.32

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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.