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Finding the Fourth Proportional to 614,863.60, 922,468.20 and 260,047.60

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Solution

The fourth proportional to 614,863.60, 922,468.20 and 260,047.60 is: 390,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,863.60 : 922,468.20 = 260,047.60 : x
  2. Step 2: Convert to fraction form
    614,863.60/922,468.20 = 260,047.60/x
  3. Step 3: Cross multiply
    614,863.60x = 922,468.20 × 260,047.60
  4. Step 4: Simplify right side
    614,863.60x = 239,885,641,486.32
  5. Step 5: Solve for x
    x = 239,885,641,486.32/614,863.60
  6. Step 6: Final answer
    x = 390,144.48

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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.