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Finding the Fourth Proportional to 657,545.97, 903,930.10 and 565,325.51

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Solution

The fourth proportional to 657,545.97, 903,930.10 and 565,325.51 is: 777,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,545.97 : 903,930.10 = 565,325.51 : x
  2. Step 2: Convert to fraction form
    657,545.97/903,930.10 = 565,325.51/x
  3. Step 3: Cross multiply
    657,545.97x = 903,930.10 × 565,325.51
  4. Step 4: Simplify right side
    657,545.97x = 511,014,738,853.89
  5. Step 5: Solve for x
    x = 511,014,738,853.89/657,545.97
  6. Step 6: Final answer
    x = 777,154.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.