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Finding the Fourth Proportional to 322,459.20, 483,688.80 and 97,808.74

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Solution

The fourth proportional to 322,459.20, 483,688.80 and 97,808.74 is: 146,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,459.20 : 483,688.80 = 97,808.74 : x
  2. Step 2: Convert to fraction form
    322,459.20/483,688.80 = 97,808.74/x
  3. Step 3: Cross multiply
    322,459.20x = 483,688.80 × 97,808.74
  4. Step 4: Simplify right side
    322,459.20x = 47,308,990,870.89
  5. Step 5: Solve for x
    x = 47,308,990,870.89/322,459.20
  6. Step 6: Final answer
    x = 146,713.11

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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.