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Finding the Fourth Proportional to 464,992.17, 697,702.76 and 212,350.10

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Solution

The fourth proportional to 464,992.17, 697,702.76 and 212,350.10 is: 318,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,992.17 : 697,702.76 = 212,350.10 : x
  2. Step 2: Convert to fraction form
    464,992.17/697,702.76 = 212,350.10/x
  3. Step 3: Cross multiply
    464,992.17x = 697,702.76 × 212,350.10
  4. Step 4: Simplify right side
    464,992.17x = 148,157,249,794.53
  5. Step 5: Solve for x
    x = 148,157,249,794.53/464,992.17
  6. Step 6: Final answer
    x = 318,623.11

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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.