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Finding the Fourth Proportional to 464,306.80, 697,277.04 and 457,658.32

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Solution

The fourth proportional to 464,306.80, 697,277.04 and 457,658.32 is: 687,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,306.80 : 697,277.04 = 457,658.32 : x
  2. Step 2: Convert to fraction form
    464,306.80/697,277.04 = 457,658.32/x
  3. Step 3: Cross multiply
    464,306.80x = 697,277.04 × 457,658.32
  4. Step 4: Simplify right side
    464,306.80x = 319,114,638,700.97
  5. Step 5: Solve for x
    x = 319,114,638,700.97/464,306.80
  6. Step 6: Final answer
    x = 687,292.62

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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.