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Finding the Fourth Proportional to 473,731.80, 653,722 and 258,829.08

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Solution

The fourth proportional to 473,731.80, 653,722 and 258,829.08 is: 357,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,731.80 : 653,722 = 258,829.08 : x
  2. Step 2: Convert to fraction form
    473,731.80/653,722 = 258,829.08/x
  3. Step 3: Cross multiply
    473,731.80x = 653,722 × 258,829.08
  4. Step 4: Simplify right side
    473,731.80x = 169,202,263,835.76
  5. Step 5: Solve for x
    x = 169,202,263,835.76/473,731.80
  6. Step 6: Final answer
    x = 357,168.90

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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.