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Finding the Fourth Proportional to 382,378.92, 573,567.10 and 98,069.16

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Solution

The fourth proportional to 382,378.92, 573,567.10 and 98,069.16 is: 147,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,378.92 : 573,567.10 = 98,069.16 : x
  2. Step 2: Convert to fraction form
    382,378.92/573,567.10 = 98,069.16/x
  3. Step 3: Cross multiply
    382,378.92x = 573,567.10 × 98,069.16
  4. Step 4: Simplify right side
    382,378.92x = 56,249,243,700.64
  5. Step 5: Solve for x
    x = 56,249,243,700.64/382,378.92
  6. Step 6: Final answer
    x = 147,103.41

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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.