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Finding the Fourth Proportional to 476,340.80, 714,165.60 and 195,713.60

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Solution

The fourth proportional to 476,340.80, 714,165.60 and 195,713.60 is: 293,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,340.80 : 714,165.60 = 195,713.60 : x
  2. Step 2: Convert to fraction form
    476,340.80/714,165.60 = 195,713.60/x
  3. Step 3: Cross multiply
    476,340.80x = 714,165.60 × 195,713.60
  4. Step 4: Simplify right side
    476,340.80x = 139,771,920,572.16
  5. Step 5: Solve for x
    x = 139,771,920,572.16/476,340.80
  6. Step 6: Final answer
    x = 293,428.40

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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.