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Finding the Fourth Proportional to 553,107.84, 763,061.76 and 410,219.52

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Solution

The fourth proportional to 553,107.84, 763,061.76 and 410,219.52 is: 565,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,107.84 : 763,061.76 = 410,219.52 : x
  2. Step 2: Convert to fraction form
    553,107.84/763,061.76 = 410,219.52/x
  3. Step 3: Cross multiply
    553,107.84x = 763,061.76 × 410,219.52
  4. Step 4: Simplify right side
    553,107.84x = 313,022,828,917.56
  5. Step 5: Solve for x
    x = 313,022,828,917.56/553,107.84
  6. Step 6: Final answer
    x = 565,934.54

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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.