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Finding the Fourth Proportional to 552,813.84, 829,396.08 and 197,820

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Solution

The fourth proportional to 552,813.84, 829,396.08 and 197,820 is: 296,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,813.84 : 829,396.08 = 197,820 : x
  2. Step 2: Convert to fraction form
    552,813.84/829,396.08 = 197,820/x
  3. Step 3: Cross multiply
    552,813.84x = 829,396.08 × 197,820
  4. Step 4: Simplify right side
    552,813.84x = 164,071,132,545.60
  5. Step 5: Solve for x
    x = 164,071,132,545.60/552,813.84
  6. Step 6: Final answer
    x = 296,792.74

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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.