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Finding the Fourth Proportional to 283,148.32, 390,582.16 and 176,980

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Solution

The fourth proportional to 283,148.32, 390,582.16 and 176,980 is: 244,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,148.32 : 390,582.16 = 176,980 : x
  2. Step 2: Convert to fraction form
    283,148.32/390,582.16 = 176,980/x
  3. Step 3: Cross multiply
    283,148.32x = 390,582.16 × 176,980
  4. Step 4: Simplify right side
    283,148.32x = 69,125,230,676.80
  5. Step 5: Solve for x
    x = 69,125,230,676.80/283,148.32
  6. Step 6: Final answer
    x = 244,130.82

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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.