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Finding the Fourth Proportional to 418,854.52, 578,026.14 and 227,868.04

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Solution

The fourth proportional to 418,854.52, 578,026.14 and 227,868.04 is: 314,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,854.52 : 578,026.14 = 227,868.04 : x
  2. Step 2: Convert to fraction form
    418,854.52/578,026.14 = 227,868.04/x
  3. Step 3: Cross multiply
    418,854.52x = 578,026.14 × 227,868.04
  4. Step 4: Simplify right side
    418,854.52x = 131,713,683,590.57
  5. Step 5: Solve for x
    x = 131,713,683,590.57/418,854.52
  6. Step 6: Final answer
    x = 314,461.65

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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.