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Finding the Fourth Proportional to 470,872.13, 706,752.08 and 171,641.93

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Solution

The fourth proportional to 470,872.13, 706,752.08 and 171,641.93 is: 257,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,872.13 : 706,752.08 = 171,641.93 : x
  2. Step 2: Convert to fraction form
    470,872.13/706,752.08 = 171,641.93/x
  3. Step 3: Cross multiply
    470,872.13x = 706,752.08 × 171,641.93
  4. Step 4: Simplify right side
    470,872.13x = 121,308,291,042.71
  5. Step 5: Solve for x
    x = 121,308,291,042.71/470,872.13
  6. Step 6: Final answer
    x = 257,624.70

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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.