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Finding the Fourth Proportional to 465,006.04, 641,903.34 and 314,307.16

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Solution

The fourth proportional to 465,006.04, 641,903.34 and 314,307.16 is: 433,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,006.04 : 641,903.34 = 314,307.16 : x
  2. Step 2: Convert to fraction form
    465,006.04/641,903.34 = 314,307.16/x
  3. Step 3: Cross multiply
    465,006.04x = 641,903.34 × 314,307.16
  4. Step 4: Simplify right side
    465,006.04x = 201,754,815,789.91
  5. Step 5: Solve for x
    x = 201,754,815,789.91/465,006.04
  6. Step 6: Final answer
    x = 433,875.69

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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.