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Finding the Fourth Proportional to 473,058.60, 709,701.30 and 157,518.36

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Solution

The fourth proportional to 473,058.60, 709,701.30 and 157,518.36 is: 236,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,058.60 : 709,701.30 = 157,518.36 : x
  2. Step 2: Convert to fraction form
    473,058.60/709,701.30 = 157,518.36/x
  3. Step 3: Cross multiply
    473,058.60x = 709,701.30 × 157,518.36
  4. Step 4: Simplify right side
    473,058.60x = 111,790,984,865.87
  5. Step 5: Solve for x
    x = 111,790,984,865.87/473,058.60
  6. Step 6: Final answer
    x = 236,315.30

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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.