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Finding the Fourth Proportional to 418,384.17, 577,373.67 and 227,397.51

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Solution

The fourth proportional to 418,384.17, 577,373.67 and 227,397.51 is: 313,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,384.17 : 577,373.67 = 227,397.51 : x
  2. Step 2: Convert to fraction form
    418,384.17/577,373.67 = 227,397.51/x
  3. Step 3: Cross multiply
    418,384.17x = 577,373.67 × 227,397.51
  4. Step 4: Simplify right side
    418,384.17x = 131,293,334,897.56
  5. Step 5: Solve for x
    x = 131,293,334,897.56/418,384.17
  6. Step 6: Final answer
    x = 313,810.47

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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.