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Finding the Fourth Proportional to 471,974.88, 708,117.84 and 172,547.04

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Solution

The fourth proportional to 471,974.88, 708,117.84 and 172,547.04 is: 258,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,974.88 : 708,117.84 = 172,547.04 : x
  2. Step 2: Convert to fraction form
    471,974.88/708,117.84 = 172,547.04/x
  3. Step 3: Cross multiply
    471,974.88x = 708,117.84 × 172,547.04
  4. Step 4: Simplify right side
    471,974.88x = 122,183,637,263.19
  5. Step 5: Solve for x
    x = 122,183,637,263.19/471,974.88
  6. Step 6: Final answer
    x = 258,877.42

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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.