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Finding the Fourth Proportional to 314,712.40, 472,135.90 and 101,492.46

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Solution

The fourth proportional to 314,712.40, 472,135.90 and 101,492.46 is: 152,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,712.40 : 472,135.90 = 101,492.46 : x
  2. Step 2: Convert to fraction form
    314,712.40/472,135.90 = 101,492.46/x
  3. Step 3: Cross multiply
    314,712.40x = 472,135.90 × 101,492.46
  4. Step 4: Simplify right side
    314,712.40x = 47,918,233,945.31
  5. Step 5: Solve for x
    x = 47,918,233,945.31/314,712.40
  6. Step 6: Final answer
    x = 152,260.39

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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.