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Finding the Fourth Proportional to 731,647.84, 1,009,713.12 and 409,338.64

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Solution

The fourth proportional to 731,647.84, 1,009,713.12 and 409,338.64 is: 564,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,647.84 : 1,009,713.12 = 409,338.64 : x
  2. Step 2: Convert to fraction form
    731,647.84/1,009,713.12 = 409,338.64/x
  3. Step 3: Cross multiply
    731,647.84x = 1,009,713.12 × 409,338.64
  4. Step 4: Simplify right side
    731,647.84x = 413,314,595,330.96
  5. Step 5: Solve for x
    x = 413,314,595,330.96/731,647.84
  6. Step 6: Final answer
    x = 564,909.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.