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Finding the Fourth Proportional to 464,697, 697,054.14 and 132,281.64

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Solution

The fourth proportional to 464,697, 697,054.14 and 132,281.64 is: 198,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,697 : 697,054.14 = 132,281.64 : x
  2. Step 2: Convert to fraction form
    464,697/697,054.14 = 132,281.64/x
  3. Step 3: Cross multiply
    464,697x = 697,054.14 × 132,281.64
  4. Step 4: Simplify right side
    464,697x = 92,207,464,807.99
  5. Step 5: Solve for x
    x = 92,207,464,807.99/464,697
  6. Step 6: Final answer
    x = 198,424.92

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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.