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Finding the Fourth Proportional to 418,574.93, 577,617.47 and 227,588.48

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Solution

The fourth proportional to 418,574.93, 577,617.47 and 227,588.48 is: 314,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,574.93 : 577,617.47 = 227,588.48 : x
  2. Step 2: Convert to fraction form
    418,574.93/577,617.47 = 227,588.48/x
  3. Step 3: Cross multiply
    418,574.93x = 577,617.47 × 227,588.48
  4. Step 4: Simplify right side
    418,574.93x = 131,459,082,018.75
  5. Step 5: Solve for x
    x = 131,459,082,018.75/418,574.93
  6. Step 6: Final answer
    x = 314,063.44

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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.