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Finding the Fourth Proportional to 407,588.81, 562,490.13 and 226,300.77

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Solution

The fourth proportional to 407,588.81, 562,490.13 and 226,300.77 is: 312,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,588.81 : 562,490.13 = 226,300.77 : x
  2. Step 2: Convert to fraction form
    407,588.81/562,490.13 = 226,300.77/x
  3. Step 3: Cross multiply
    407,588.81x = 562,490.13 × 226,300.77
  4. Step 4: Simplify right side
    407,588.81x = 127,291,947,002.75
  5. Step 5: Solve for x
    x = 127,291,947,002.75/407,588.81
  6. Step 6: Final answer
    x = 312,304.81

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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.