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Finding the Fourth Proportional to 517,459.29, 714,100.58 and 284,913.28

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Solution

The fourth proportional to 517,459.29, 714,100.58 and 284,913.28 is: 393,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,459.29 : 714,100.58 = 284,913.28 : x
  2. Step 2: Convert to fraction form
    517,459.29/714,100.58 = 284,913.28/x
  3. Step 3: Cross multiply
    517,459.29x = 714,100.58 × 284,913.28
  4. Step 4: Simplify right side
    517,459.29x = 203,456,737,424.73
  5. Step 5: Solve for x
    x = 203,456,737,424.73/517,459.29
  6. Step 6: Final answer
    x = 393,184.05

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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.