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Finding the Fourth Proportional to 407,822.88, 611,595.60 and 155,042.40

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Solution

The fourth proportional to 407,822.88, 611,595.60 and 155,042.40 is: 232,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,822.88 : 611,595.60 = 155,042.40 : x
  2. Step 2: Convert to fraction form
    407,822.88/611,595.60 = 155,042.40/x
  3. Step 3: Cross multiply
    407,822.88x = 611,595.60 × 155,042.40
  4. Step 4: Simplify right side
    407,822.88x = 94,823,249,653.44
  5. Step 5: Solve for x
    x = 94,823,249,653.44/407,822.88
  6. Step 6: Final answer
    x = 232,510.86

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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.