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Finding the Fourth Proportional to 464,864.40, 697,296.60 and 359,758.80

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Solution

The fourth proportional to 464,864.40, 697,296.60 and 359,758.80 is: 539,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,864.40 : 697,296.60 = 359,758.80 : x
  2. Step 2: Convert to fraction form
    464,864.40/697,296.60 = 359,758.80/x
  3. Step 3: Cross multiply
    464,864.40x = 697,296.60 × 359,758.80
  4. Step 4: Simplify right side
    464,864.40x = 250,858,588,060.08
  5. Step 5: Solve for x
    x = 250,858,588,060.08/464,864.40
  6. Step 6: Final answer
    x = 539,638.20

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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.