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Finding the Fourth Proportional to 314,710.92, 472,133.66 and 101,490.98

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Solution

The fourth proportional to 314,710.92, 472,133.66 and 101,490.98 is: 152,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,710.92 : 472,133.66 = 101,490.98 : x
  2. Step 2: Convert to fraction form
    314,710.92/472,133.66 = 101,490.98/x
  3. Step 3: Cross multiply
    314,710.92x = 472,133.66 × 101,490.98
  4. Step 4: Simplify right side
    314,710.92x = 47,917,304,976.26
  5. Step 5: Solve for x
    x = 47,917,304,976.26/314,710.92
  6. Step 6: Final answer
    x = 152,258.16

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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.