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Finding the Fourth Proportional to 470,781.30, 705,005.55 and 302,042.10

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Solution

The fourth proportional to 470,781.30, 705,005.55 and 302,042.10 is: 452,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,781.30 : 705,005.55 = 302,042.10 : x
  2. Step 2: Convert to fraction form
    470,781.30/705,005.55 = 302,042.10/x
  3. Step 3: Cross multiply
    470,781.30x = 705,005.55 × 302,042.10
  4. Step 4: Simplify right side
    470,781.30x = 212,941,356,833.66
  5. Step 5: Solve for x
    x = 212,941,356,833.66/470,781.30
  6. Step 6: Final answer
    x = 452,314.82

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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.