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Finding the Fourth Proportional to 702,750, 1,054,322.08 and 282,321.12

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Solution

The fourth proportional to 702,750, 1,054,322.08 and 282,321.12 is: 423,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,750 : 1,054,322.08 = 282,321.12 : x
  2. Step 2: Convert to fraction form
    702,750/1,054,322.08 = 282,321.12/x
  3. Step 3: Cross multiply
    702,750x = 1,054,322.08 × 282,321.12
  4. Step 4: Simplify right side
    702,750x = 297,657,390,466.33
  5. Step 5: Solve for x
    x = 297,657,390,466.33/702,750
  6. Step 6: Final answer
    x = 423,560.85

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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.