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Finding the Fourth Proportional to 464,807.70, 696,227.40 and 414,944.10

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Solution

The fourth proportional to 464,807.70, 696,227.40 and 414,944.10 is: 621,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,807.70 : 696,227.40 = 414,944.10 : x
  2. Step 2: Convert to fraction form
    464,807.70/696,227.40 = 414,944.10/x
  3. Step 3: Cross multiply
    464,807.70x = 696,227.40 × 414,944.10
  4. Step 4: Simplify right side
    464,807.70x = 288,895,451,888.34
  5. Step 5: Solve for x
    x = 288,895,451,888.34/464,807.70
  6. Step 6: Final answer
    x = 621,537.58

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1.5x scale

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.