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Finding the Fourth Proportional to 684,873.51, 944,911.22 and 413,024.55

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Solution

The fourth proportional to 684,873.51, 944,911.22 and 413,024.55 is: 569,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,873.51 : 944,911.22 = 413,024.55 : x
  2. Step 2: Convert to fraction form
    684,873.51/944,911.22 = 413,024.55/x
  3. Step 3: Cross multiply
    684,873.51x = 944,911.22 × 413,024.55
  4. Step 4: Simplify right side
    684,873.51x = 390,271,529,365.33
  5. Step 5: Solve for x
    x = 390,271,529,365.33/684,873.51
  6. Step 6: Final answer
    x = 569,844.68

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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.