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Finding the Fourth Proportional to 605,045.10, 905,599.35 and 471,200.70

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Solution

The fourth proportional to 605,045.10, 905,599.35 and 471,200.70 is: 705,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,045.10 : 905,599.35 = 471,200.70 : x
  2. Step 2: Convert to fraction form
    605,045.10/905,599.35 = 471,200.70/x
  3. Step 3: Cross multiply
    605,045.10x = 905,599.35 × 471,200.70
  4. Step 4: Simplify right side
    605,045.10x = 426,719,047,639.55
  5. Step 5: Solve for x
    x = 426,719,047,639.55/605,045.10
  6. Step 6: Final answer
    x = 705,268.17

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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.