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Finding the Fourth Proportional to 417,083.04, 575,578.70 and 226,095.97

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Solution

The fourth proportional to 417,083.04, 575,578.70 and 226,095.97 is: 312,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,083.04 : 575,578.70 = 226,095.97 : x
  2. Step 2: Convert to fraction form
    417,083.04/575,578.70 = 226,095.97/x
  3. Step 3: Cross multiply
    417,083.04x = 575,578.70 × 226,095.97
  4. Step 4: Simplify right side
    417,083.04x = 130,136,024,487.84
  5. Step 5: Solve for x
    x = 130,136,024,487.84/417,083.04
  6. Step 6: Final answer
    x = 312,014.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.