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Finding the Fourth Proportional to 551,516.16, 827,088.21 and 209,878.50

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Solution

The fourth proportional to 551,516.16, 827,088.21 and 209,878.50 is: 314,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,516.16 : 827,088.21 = 209,878.50 : x
  2. Step 2: Convert to fraction form
    551,516.16/827,088.21 = 209,878.50/x
  3. Step 3: Cross multiply
    551,516.16x = 827,088.21 × 209,878.50
  4. Step 4: Simplify right side
    551,516.16x = 173,588,032,882.49
  5. Step 5: Solve for x
    x = 173,588,032,882.49/551,516.16
  6. Step 6: Final answer
    x = 314,746.96

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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.