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Finding the Fourth Proportional to 431,985.76, 596,132 and 238,411.68

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Solution

The fourth proportional to 431,985.76, 596,132 and 238,411.68 is: 329,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,985.76 : 596,132 = 238,411.68 : x
  2. Step 2: Convert to fraction form
    431,985.76/596,132 = 238,411.68/x
  3. Step 3: Cross multiply
    431,985.76x = 596,132 × 238,411.68
  4. Step 4: Simplify right side
    431,985.76x = 142,124,831,621.76
  5. Step 5: Solve for x
    x = 142,124,831,621.76/431,985.76
  6. Step 6: Final answer
    x = 329,003.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.