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Finding the Fourth Proportional to 522,802.20, 784,187.10 and 148,825.20

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Solution

The fourth proportional to 522,802.20, 784,187.10 and 148,825.20 is: 223,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,802.20 : 784,187.10 = 148,825.20 : x
  2. Step 2: Convert to fraction form
    522,802.20/784,187.10 = 148,825.20/x
  3. Step 3: Cross multiply
    522,802.20x = 784,187.10 × 148,825.20
  4. Step 4: Simplify right side
    522,802.20x = 116,706,801,994.92
  5. Step 5: Solve for x
    x = 116,706,801,994.92/522,802.20
  6. Step 6: Final answer
    x = 223,233.19

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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.