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Finding the Fourth Proportional to 611,582.36, 917,302.25 and 162,338.13

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Solution

The fourth proportional to 611,582.36, 917,302.25 and 162,338.13 is: 243,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,582.36 : 917,302.25 = 162,338.13 : x
  2. Step 2: Convert to fraction form
    611,582.36/917,302.25 = 162,338.13/x
  3. Step 3: Cross multiply
    611,582.36x = 917,302.25 × 162,338.13
  4. Step 4: Simplify right side
    611,582.36x = 148,913,135,755.52
  5. Step 5: Solve for x
    x = 148,913,135,755.52/611,582.36
  6. Step 6: Final answer
    x = 243,488.28

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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.