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Finding the Fourth Proportional to 563,091.87, 777,082.56 and 342,328.80

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Solution

The fourth proportional to 563,091.87, 777,082.56 and 342,328.80 is: 472,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,091.87 : 777,082.56 = 342,328.80 : x
  2. Step 2: Convert to fraction form
    563,091.87/777,082.56 = 342,328.80/x
  3. Step 3: Cross multiply
    563,091.87x = 777,082.56 × 342,328.80
  4. Step 4: Simplify right side
    563,091.87x = 266,017,740,265.73
  5. Step 5: Solve for x
    x = 266,017,740,265.73/563,091.87
  6. Step 6: Final answer
    x = 472,423.34

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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.