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Finding the Fourth Proportional to 614,670.24, 922,116.96 and 299,127.36

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Solution

The fourth proportional to 614,670.24, 922,116.96 and 299,127.36 is: 448,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,670.24 : 922,116.96 = 299,127.36 : x
  2. Step 2: Convert to fraction form
    614,670.24/922,116.96 = 299,127.36/x
  3. Step 3: Cross multiply
    614,670.24x = 922,116.96 × 299,127.36
  4. Step 4: Simplify right side
    614,670.24x = 275,830,411,856.03
  5. Step 5: Solve for x
    x = 275,830,411,856.03/614,670.24
  6. Step 6: Final answer
    x = 448,745.35

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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.