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Finding the Fourth Proportional to 652,292.24, 899,781 and 410,190.80

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Solution

The fourth proportional to 652,292.24, 899,781 and 410,190.80 is: 565,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,292.24 : 899,781 = 410,190.80 : x
  2. Step 2: Convert to fraction form
    652,292.24/899,781 = 410,190.80/x
  3. Step 3: Cross multiply
    652,292.24x = 899,781 × 410,190.80
  4. Step 4: Simplify right side
    652,292.24x = 369,081,888,214.80
  5. Step 5: Solve for x
    x = 369,081,888,214.80/652,292.24
  6. Step 6: Final answer
    x = 565,822.90

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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.