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Finding the Fourth Proportional to 473,114.10, 709,784.67 and 157,573.86

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Solution

The fourth proportional to 473,114.10, 709,784.67 and 157,573.86 is: 236,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,114.10 : 709,784.67 = 157,573.86 : x
  2. Step 2: Convert to fraction form
    473,114.10/709,784.67 = 157,573.86/x
  3. Step 3: Cross multiply
    473,114.10x = 709,784.67 × 157,573.86
  4. Step 4: Simplify right side
    473,114.10x = 111,843,510,220.73
  5. Step 5: Solve for x
    x = 111,843,510,220.73/473,114.10
  6. Step 6: Final answer
    x = 236,398.60

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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.