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Finding the Fourth Proportional to 470,504.16, 705,067.20 and 233,373.28

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Solution

The fourth proportional to 470,504.16, 705,067.20 and 233,373.28 is: 349,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,504.16 : 705,067.20 = 233,373.28 : x
  2. Step 2: Convert to fraction form
    470,504.16/705,067.20 = 233,373.28/x
  3. Step 3: Cross multiply
    470,504.16x = 705,067.20 × 233,373.28
  4. Step 4: Simplify right side
    470,504.16x = 164,543,845,084.42
  5. Step 5: Solve for x
    x = 164,543,845,084.42/470,504.16
  6. Step 6: Final answer
    x = 349,718.15

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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.