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Finding the Fourth Proportional to 472,347.97, 708,448.91 and 172,758.49

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Solution

The fourth proportional to 472,347.97, 708,448.91 and 172,758.49 is: 259,111.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,347.97 : 708,448.91 = 172,758.49 : x
  2. Step 2: Convert to fraction form
    472,347.97/708,448.91 = 172,758.49/x
  3. Step 3: Cross multiply
    472,347.97x = 708,448.91 × 172,758.49
  4. Step 4: Simplify right side
    472,347.97x = 122,390,559,527.71
  5. Step 5: Solve for x
    x = 122,390,559,527.71/472,347.97
  6. Step 6: Final answer
    x = 259,111.01

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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.