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Finding the Fourth Proportional to 315,007.11, 472,502.16 and 101,774.61

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Solution

The fourth proportional to 315,007.11, 472,502.16 and 101,774.61 is: 152,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,007.11 : 472,502.16 = 101,774.61 : x
  2. Step 2: Convert to fraction form
    315,007.11/472,502.16 = 101,774.61/x
  3. Step 3: Cross multiply
    315,007.11x = 472,502.16 × 101,774.61
  4. Step 4: Simplify right side
    315,007.11x = 48,088,723,058.16
  5. Step 5: Solve for x
    x = 48,088,723,058.16/315,007.11
  6. Step 6: Final answer
    x = 152,659.17

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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.