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Finding the Fourth Proportional to 473,224.42, 653,065.14 and 258,380.82

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Solution

The fourth proportional to 473,224.42, 653,065.14 and 258,380.82 is: 356,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,224.42 : 653,065.14 = 258,380.82 : x
  2. Step 2: Convert to fraction form
    473,224.42/653,065.14 = 258,380.82/x
  3. Step 3: Cross multiply
    473,224.42x = 653,065.14 × 258,380.82
  4. Step 4: Simplify right side
    473,224.42x = 168,739,506,386.62
  5. Step 5: Solve for x
    x = 168,739,506,386.62/473,224.42
  6. Step 6: Final answer
    x = 356,573.96

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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.