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Finding the Fourth Proportional to 557,416, 836,262.88 and 163,432

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Solution

The fourth proportional to 557,416, 836,262.88 and 163,432 is: 245,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,416 : 836,262.88 = 163,432 : x
  2. Step 2: Convert to fraction form
    557,416/836,262.88 = 163,432/x
  3. Step 3: Cross multiply
    557,416x = 836,262.88 × 163,432
  4. Step 4: Simplify right side
    557,416x = 136,672,115,004.16
  5. Step 5: Solve for x
    x = 136,672,115,004.16/557,416
  6. Step 6: Final answer
    x = 245,188.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.