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Finding the Fourth Proportional to 315,826.19, 435,884.59 and 201,068.17

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Solution

The fourth proportional to 315,826.19, 435,884.59 and 201,068.17 is: 277,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,826.19 : 435,884.59 = 201,068.17 : x
  2. Step 2: Convert to fraction form
    315,826.19/435,884.59 = 201,068.17/x
  3. Step 3: Cross multiply
    315,826.19x = 435,884.59 × 201,068.17
  4. Step 4: Simplify right side
    315,826.19x = 87,642,518,455.97
  5. Step 5: Solve for x
    x = 87,642,518,455.97/315,826.19
  6. Step 6: Final answer
    x = 277,502.38

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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.