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Finding the Fourth Proportional to 722,580.90, 997,034.90 and 412,341.83

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Solution

The fourth proportional to 722,580.90, 997,034.90 and 412,341.83 is: 568,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,580.90 : 997,034.90 = 412,341.83 : x
  2. Step 2: Convert to fraction form
    722,580.90/997,034.90 = 412,341.83/x
  3. Step 3: Cross multiply
    722,580.90x = 997,034.90 × 412,341.83
  4. Step 4: Simplify right side
    722,580.90x = 411,119,199,859.61
  5. Step 5: Solve for x
    x = 411,119,199,859.61/722,580.90
  6. Step 6: Final answer
    x = 568,959.41

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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.