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Finding the Fourth Proportional to 438,328.20, 657,492.30 and 157,744.20

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Solution

The fourth proportional to 438,328.20, 657,492.30 and 157,744.20 is: 236,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,328.20 : 657,492.30 = 157,744.20 : x
  2. Step 2: Convert to fraction form
    438,328.20/657,492.30 = 157,744.20/x
  3. Step 3: Cross multiply
    438,328.20x = 657,492.30 × 157,744.20
  4. Step 4: Simplify right side
    438,328.20x = 103,715,596,869.66
  5. Step 5: Solve for x
    x = 103,715,596,869.66/438,328.20
  6. Step 6: Final answer
    x = 236,616.30

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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.