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Finding the Fourth Proportional to 564,998.76, 847,496.70 and 354,784.32

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Solution

The fourth proportional to 564,998.76, 847,496.70 and 354,784.32 is: 532,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,998.76 : 847,496.70 = 354,784.32 : x
  2. Step 2: Convert to fraction form
    564,998.76/847,496.70 = 354,784.32/x
  3. Step 3: Cross multiply
    564,998.76x = 847,496.70 × 354,784.32
  4. Step 4: Simplify right side
    564,998.76x = 300,678,540,411.74
  5. Step 5: Solve for x
    x = 300,678,540,411.74/564,998.76
  6. Step 6: Final answer
    x = 532,175.58

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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.