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Finding the Fourth Proportional to 472,106.28, 708,368.76 and 247,413.30

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Solution

The fourth proportional to 472,106.28, 708,368.76 and 247,413.30 is: 371,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,106.28 : 708,368.76 = 247,413.30 : x
  2. Step 2: Convert to fraction form
    472,106.28/708,368.76 = 247,413.30/x
  3. Step 3: Cross multiply
    472,106.28x = 708,368.76 × 247,413.30
  4. Step 4: Simplify right side
    472,106.28x = 175,259,852,528.51
  5. Step 5: Solve for x
    x = 175,259,852,528.51/472,106.28
  6. Step 6: Final answer
    x = 371,229.66

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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.