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Finding the Fourth Proportional to 423,277.84, 584,134.50 and 242,019.28

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Solution

The fourth proportional to 423,277.84, 584,134.50 and 242,019.28 is: 333,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,277.84 : 584,134.50 = 242,019.28 : x
  2. Step 2: Convert to fraction form
    423,277.84/584,134.50 = 242,019.28/x
  3. Step 3: Cross multiply
    423,277.84x = 584,134.50 × 242,019.28
  4. Step 4: Simplify right side
    423,277.84x = 141,371,811,113.16
  5. Step 5: Solve for x
    x = 141,371,811,113.16/423,277.84
  6. Step 6: Final answer
    x = 333,992.94

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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.