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Finding the Fourth Proportional to 470,894.20, 706,341.30 and 293,601.40

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Solution

The fourth proportional to 470,894.20, 706,341.30 and 293,601.40 is: 440,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,894.20 : 706,341.30 = 293,601.40 : x
  2. Step 2: Convert to fraction form
    470,894.20/706,341.30 = 293,601.40/x
  3. Step 3: Cross multiply
    470,894.20x = 706,341.30 × 293,601.40
  4. Step 4: Simplify right side
    470,894.20x = 207,382,794,557.82
  5. Step 5: Solve for x
    x = 207,382,794,557.82/470,894.20
  6. Step 6: Final answer
    x = 440,402.10

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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.