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Finding the Fourth Proportional to 614,857.10, 922,458.45 and 260,041.10

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Solution

The fourth proportional to 614,857.10, 922,458.45 and 260,041.10 is: 390,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,857.10 : 922,458.45 = 260,041.10 : x
  2. Step 2: Convert to fraction form
    614,857.10/922,458.45 = 260,041.10/x
  3. Step 3: Cross multiply
    614,857.10x = 922,458.45 × 260,041.10
  4. Step 4: Simplify right side
    614,857.10x = 239,877,110,042.30
  5. Step 5: Solve for x
    x = 239,877,110,042.30/614,857.10
  6. Step 6: Final answer
    x = 390,134.73

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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.