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Finding the Fourth Proportional to 473,109.72, 709,402.02 and 157,394.28

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Solution

The fourth proportional to 473,109.72, 709,402.02 and 157,394.28 is: 236,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,109.72 : 709,402.02 = 157,394.28 : x
  2. Step 2: Convert to fraction form
    473,109.72/709,402.02 = 157,394.28/x
  3. Step 3: Cross multiply
    473,109.72x = 709,402.02 × 157,394.28
  4. Step 4: Simplify right side
    473,109.72x = 111,655,820,168.45
  5. Step 5: Solve for x
    x = 111,655,820,168.45/473,109.72
  6. Step 6: Final answer
    x = 236,004.07

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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.