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Finding the Fourth Proportional to 469,334.72, 702,982.56 and 288,870.08

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Solution

The fourth proportional to 469,334.72, 702,982.56 and 288,870.08 is: 432,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,334.72 : 702,982.56 = 288,870.08 : x
  2. Step 2: Convert to fraction form
    469,334.72/702,982.56 = 288,870.08/x
  3. Step 3: Cross multiply
    469,334.72x = 702,982.56 × 288,870.08
  4. Step 4: Simplify right side
    469,334.72x = 203,070,628,345.81
  5. Step 5: Solve for x
    x = 203,070,628,345.81/469,334.72
  6. Step 6: Final answer
    x = 432,677.62

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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.