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Finding the Fourth Proportional to 315,187.40, 472,781.10 and 310,521.80

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Solution

The fourth proportional to 315,187.40, 472,781.10 and 310,521.80 is: 465,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,187.40 : 472,781.10 = 310,521.80 : x
  2. Step 2: Convert to fraction form
    315,187.40/472,781.10 = 310,521.80/x
  3. Step 3: Cross multiply
    315,187.40x = 472,781.10 × 310,521.80
  4. Step 4: Simplify right side
    315,187.40x = 146,808,838,177.98
  5. Step 5: Solve for x
    x = 146,808,838,177.98/315,187.40
  6. Step 6: Final answer
    x = 465,782.70

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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.