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Finding the Fourth Proportional to 614,906.48, 922,639.95 and 315,597.22

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Solution

The fourth proportional to 614,906.48, 922,639.95 and 315,597.22 is: 473,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,906.48 : 922,639.95 = 315,597.22 : x
  2. Step 2: Convert to fraction form
    614,906.48/922,639.95 = 315,597.22/x
  3. Step 3: Cross multiply
    614,906.48x = 922,639.95 × 315,597.22
  4. Step 4: Simplify right side
    614,906.48x = 291,182,603,280.94
  5. Step 5: Solve for x
    x = 291,182,603,280.94/614,906.48
  6. Step 6: Final answer
    x = 473,539.66

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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.