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Finding the Fourth Proportional to 705,019.75, 972,928.47 and 403,213.75

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Solution

The fourth proportional to 705,019.75, 972,928.47 and 403,213.75 is: 556,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,019.75 : 972,928.47 = 403,213.75 : x
  2. Step 2: Convert to fraction form
    705,019.75/972,928.47 = 403,213.75/x
  3. Step 3: Cross multiply
    705,019.75x = 972,928.47 × 403,213.75
  4. Step 4: Simplify right side
    705,019.75x = 392,298,136,870.46
  5. Step 5: Solve for x
    x = 392,298,136,870.46/705,019.75
  6. Step 6: Final answer
    x = 556,435.67

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