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Finding the Fourth Proportional to 418,398.06, 577,395.21 and 227,411.46

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Solution

The fourth proportional to 418,398.06, 577,395.21 and 227,411.46 is: 313,831.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,398.06 : 577,395.21 = 227,411.46 : x
  2. Step 2: Convert to fraction form
    418,398.06/577,395.21 = 227,411.46/x
  3. Step 3: Cross multiply
    418,398.06x = 577,395.21 × 227,411.46
  4. Step 4: Simplify right side
    418,398.06x = 131,306,287,703.11
  5. Step 5: Solve for x
    x = 131,306,287,703.11/418,398.06
  6. Step 6: Final answer
    x = 313,831.01

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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.