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Finding the Fourth Proportional to 469,612.60, 704,807.70 and 217,281.40

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Solution

The fourth proportional to 469,612.60, 704,807.70 and 217,281.40 is: 326,101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,612.60 : 704,807.70 = 217,281.40 : x
  2. Step 2: Convert to fraction form
    469,612.60/704,807.70 = 217,281.40/x
  3. Step 3: Cross multiply
    469,612.60x = 704,807.70 × 217,281.40
  4. Step 4: Simplify right side
    469,612.60x = 153,141,603,786.78
  5. Step 5: Solve for x
    x = 153,141,603,786.78/469,612.60
  6. Step 6: Final answer
    x = 326,101.99

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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.