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Finding the Fourth Proportional to 470,894.86, 706,326.43 and 204,655.40

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Solution

The fourth proportional to 470,894.86, 706,326.43 and 204,655.40 is: 306,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,894.86 : 706,326.43 = 204,655.40 : x
  2. Step 2: Convert to fraction form
    470,894.86/706,326.43 = 204,655.40/x
  3. Step 3: Cross multiply
    470,894.86x = 706,326.43 × 204,655.40
  4. Step 4: Simplify right side
    470,894.86x = 144,553,518,062.22
  5. Step 5: Solve for x
    x = 144,553,518,062.22/470,894.86
  6. Step 6: Final answer
    x = 306,976.21

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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.