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Finding the Fourth Proportional to 283,024.32, 390,411.36 and 176,856

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Solution

The fourth proportional to 283,024.32, 390,411.36 and 176,856 is: 243,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,024.32 : 390,411.36 = 176,856 : x
  2. Step 2: Convert to fraction form
    283,024.32/390,411.36 = 176,856/x
  3. Step 3: Cross multiply
    283,024.32x = 390,411.36 × 176,856
  4. Step 4: Simplify right side
    283,024.32x = 69,046,591,484.16
  5. Step 5: Solve for x
    x = 69,046,591,484.16/283,024.32
  6. Step 6: Final answer
    x = 243,959.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.