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Finding the Fourth Proportional to 473,048.80, 709,573.20 and 157,537.60

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Solution

The fourth proportional to 473,048.80, 709,573.20 and 157,537.60 is: 236,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,048.80 : 709,573.20 = 157,537.60 : x
  2. Step 2: Convert to fraction form
    473,048.80/709,573.20 = 157,537.60/x
  3. Step 3: Cross multiply
    473,048.80x = 709,573.20 × 157,537.60
  4. Step 4: Simplify right side
    473,048.80x = 111,784,458,952.32
  5. Step 5: Solve for x
    x = 111,784,458,952.32/473,048.80
  6. Step 6: Final answer
    x = 236,306.40

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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.