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Finding the Fourth Proportional to 700,807.74, 967,123.76 and 414,325.32

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Solution

The fourth proportional to 700,807.74, 967,123.76 and 414,325.32 is: 571,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,807.74 : 967,123.76 = 414,325.32 : x
  2. Step 2: Convert to fraction form
    700,807.74/967,123.76 = 414,325.32/x
  3. Step 3: Cross multiply
    700,807.74x = 967,123.76 × 414,325.32
  4. Step 4: Simplify right side
    700,807.74x = 400,703,861,341.60
  5. Step 5: Solve for x
    x = 400,703,861,341.60/700,807.74
  6. Step 6: Final answer
    x = 571,774.31

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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.