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Finding the Fourth Proportional to 473,643.60, 710,227.32 and 157,991.76

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Solution

The fourth proportional to 473,643.60, 710,227.32 and 157,991.76 is: 236,908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,643.60 : 710,227.32 = 157,991.76 : x
  2. Step 2: Convert to fraction form
    473,643.60/710,227.32 = 157,991.76/x
  3. Step 3: Cross multiply
    473,643.60x = 710,227.32 × 157,991.76
  4. Step 4: Simplify right side
    473,643.60x = 112,210,064,286.88
  5. Step 5: Solve for x
    x = 112,210,064,286.88/473,643.60
  6. Step 6: Final answer
    x = 236,908.22

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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.