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Finding the Fourth Proportional to 445,076, 614,204.88 and 266,228

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Solution

The fourth proportional to 445,076, 614,204.88 and 266,228 is: 367,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,076 : 614,204.88 = 266,228 : x
  2. Step 2: Convert to fraction form
    445,076/614,204.88 = 266,228/x
  3. Step 3: Cross multiply
    445,076x = 614,204.88 × 266,228
  4. Step 4: Simplify right side
    445,076x = 163,518,536,792.64
  5. Step 5: Solve for x
    x = 163,518,536,792.64/445,076
  6. Step 6: Final answer
    x = 367,394.64

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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.