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Finding the Fourth Proportional to 640,906, 884,098.72 and 411,206.80

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Solution

The fourth proportional to 640,906, 884,098.72 and 411,206.80 is: 567,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,906 : 884,098.72 = 411,206.80 : x
  2. Step 2: Convert to fraction form
    640,906/884,098.72 = 411,206.80/x
  3. Step 3: Cross multiply
    640,906x = 884,098.72 × 411,206.80
  4. Step 4: Simplify right side
    640,906x = 363,547,405,535.30
  5. Step 5: Solve for x
    x = 363,547,405,535.30/640,906
  6. Step 6: Final answer
    x = 567,239.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.