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Finding the Fourth Proportional to 387,806.64, 581,395.56 and 174,418.32

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Solution

The fourth proportional to 387,806.64, 581,395.56 and 174,418.32 is: 261,486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,806.64 : 581,395.56 = 174,418.32 : x
  2. Step 2: Convert to fraction form
    387,806.64/581,395.56 = 174,418.32/x
  3. Step 3: Cross multiply
    387,806.64x = 581,395.56 × 174,418.32
  4. Step 4: Simplify right side
    387,806.64x = 101,406,036,830.66
  5. Step 5: Solve for x
    x = 101,406,036,830.66/387,806.64
  6. Step 6: Final answer
    x = 261,486.08

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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.