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Finding the Fourth Proportional to 569,637.76, 853,785.76 and 232,468

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Solution

The fourth proportional to 569,637.76, 853,785.76 and 232,468 is: 348,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,637.76 : 853,785.76 = 232,468 : x
  2. Step 2: Convert to fraction form
    569,637.76/853,785.76 = 232,468/x
  3. Step 3: Cross multiply
    569,637.76x = 853,785.76 × 232,468
  4. Step 4: Simplify right side
    569,637.76x = 198,477,868,055.68
  5. Step 5: Solve for x
    x = 198,477,868,055.68/569,637.76
  6. Step 6: Final answer
    x = 348,428.22

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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.