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Finding the Fourth Proportional to 314,894.77, 472,434.18 and 101,657.68

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Solution

The fourth proportional to 314,894.77, 472,434.18 and 101,657.68 is: 152,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,894.77 : 472,434.18 = 101,657.68 : x
  2. Step 2: Convert to fraction form
    314,894.77/472,434.18 = 101,657.68/x
  3. Step 3: Cross multiply
    314,894.77x = 472,434.18 × 101,657.68
  4. Step 4: Simplify right side
    314,894.77x = 48,026,562,691.50
  5. Step 5: Solve for x
    x = 48,026,562,691.50/314,894.77
  6. Step 6: Final answer
    x = 152,516.23

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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.