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Finding the Fourth Proportional to 719,613.50, 993,154.11 and 417,807.50

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Solution

The fourth proportional to 719,613.50, 993,154.11 and 417,807.50 is: 576,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,613.50 : 993,154.11 = 417,807.50 : x
  2. Step 2: Convert to fraction form
    719,613.50/993,154.11 = 417,807.50/x
  3. Step 3: Cross multiply
    719,613.50x = 993,154.11 × 417,807.50
  4. Step 4: Simplify right side
    719,613.50x = 414,947,235,813.83
  5. Step 5: Solve for x
    x = 414,947,235,813.83/719,613.50
  6. Step 6: Final answer
    x = 576,625.14

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Why These Related Problems?

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