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Finding the Fourth Proportional to 522,023.40, 783,035.10 and 417,047.40

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Solution

The fourth proportional to 522,023.40, 783,035.10 and 417,047.40 is: 625,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,023.40 : 783,035.10 = 417,047.40 : x
  2. Step 2: Convert to fraction form
    522,023.40/783,035.10 = 417,047.40/x
  3. Step 3: Cross multiply
    522,023.40x = 783,035.10 × 417,047.40
  4. Step 4: Simplify right side
    522,023.40x = 326,562,752,563.74
  5. Step 5: Solve for x
    x = 326,562,752,563.74/522,023.40
  6. Step 6: Final answer
    x = 625,571.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.