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Finding the Fourth Proportional to 614,857.60, 922,459.20 and 260,041.60

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Solution

The fourth proportional to 614,857.60, 922,459.20 and 260,041.60 is: 390,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,857.60 : 922,459.20 = 260,041.60 : x
  2. Step 2: Convert to fraction form
    614,857.60/922,459.20 = 260,041.60/x
  3. Step 3: Cross multiply
    614,857.60x = 922,459.20 × 260,041.60
  4. Step 4: Simplify right side
    614,857.60x = 239,877,766,302.72
  5. Step 5: Solve for x
    x = 239,877,766,302.72/614,857.60
  6. Step 6: Final answer
    x = 390,135.48

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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.