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Finding the Fourth Proportional to 706,413.61, 974,508.22 and 419,730.71

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Solution

The fourth proportional to 706,413.61, 974,508.22 and 419,730.71 is: 579,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,413.61 : 974,508.22 = 419,730.71 : x
  2. Step 2: Convert to fraction form
    706,413.61/974,508.22 = 419,730.71/x
  3. Step 3: Cross multiply
    706,413.61x = 974,508.22 × 419,730.71
  4. Step 4: Simplify right side
    706,413.61x = 409,031,025,854.18
  5. Step 5: Solve for x
    x = 409,031,025,854.18/706,413.61
  6. Step 6: Final answer
    x = 579,024.84

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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.