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Finding the Fourth Proportional to 418,557.84, 577,894.92 and 280,943.16

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Solution

The fourth proportional to 418,557.84, 577,894.92 and 280,943.16 is: 387,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,557.84 : 577,894.92 = 280,943.16 : x
  2. Step 2: Convert to fraction form
    418,557.84/577,894.92 = 280,943.16/x
  3. Step 3: Cross multiply
    418,557.84x = 577,894.92 × 280,943.16
  4. Step 4: Simplify right side
    418,557.84x = 162,355,624,972.75
  5. Step 5: Solve for x
    x = 162,355,624,972.75/418,557.84
  6. Step 6: Final answer
    x = 387,892.93

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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.