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Finding the Fourth Proportional to 418,875.84, 578,031.81 and 227,890.02

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Solution

The fourth proportional to 418,875.84, 578,031.81 and 227,890.02 is: 314,479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,875.84 : 578,031.81 = 227,890.02 : x
  2. Step 2: Convert to fraction form
    418,875.84/578,031.81 = 227,890.02/x
  3. Step 3: Cross multiply
    418,875.84x = 578,031.81 × 227,890.02
  4. Step 4: Simplify right side
    418,875.84x = 131,727,680,741.54
  5. Step 5: Solve for x
    x = 131,727,680,741.54/418,875.84
  6. Step 6: Final answer
    x = 314,479.06

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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.