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Finding the Fourth Proportional to 427,663.84, 590,166.72 and 234,070.56

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Solution

The fourth proportional to 427,663.84, 590,166.72 and 234,070.56 is: 323,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,663.84 : 590,166.72 = 234,070.56 : x
  2. Step 2: Convert to fraction form
    427,663.84/590,166.72 = 234,070.56/x
  3. Step 3: Cross multiply
    427,663.84x = 590,166.72 × 234,070.56
  4. Step 4: Simplify right side
    427,663.84x = 138,140,654,643.76
  5. Step 5: Solve for x
    x = 138,140,654,643.76/427,663.84
  6. Step 6: Final answer
    x = 323,012.24

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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.