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Finding the Fourth Proportional to 702,703.81, 969,731.59 and 380,413.91

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Solution

The fourth proportional to 702,703.81, 969,731.59 and 380,413.91 is: 524,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,703.81 : 969,731.59 = 380,413.91 : x
  2. Step 2: Convert to fraction form
    702,703.81/969,731.59 = 380,413.91/x
  3. Step 3: Cross multiply
    702,703.81x = 969,731.59 × 380,413.91
  4. Step 4: Simplify right side
    702,703.81x = 368,899,385,802.42
  5. Step 5: Solve for x
    x = 368,899,385,802.42/702,703.81
  6. Step 6: Final answer
    x = 524,971.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.