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Finding the Fourth Proportional to 534,055.36, 801,214.08 and 160,078

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Solution

The fourth proportional to 534,055.36, 801,214.08 and 160,078 is: 240,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,055.36 : 801,214.08 = 160,078 : x
  2. Step 2: Convert to fraction form
    534,055.36/801,214.08 = 160,078/x
  3. Step 3: Cross multiply
    534,055.36x = 801,214.08 × 160,078
  4. Step 4: Simplify right side
    534,055.36x = 128,256,747,498.24
  5. Step 5: Solve for x
    x = 128,256,747,498.24/534,055.36
  6. Step 6: Final answer
    x = 240,156.28

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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.