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Finding the Fourth Proportional to 415,795.76, 623,688.16 and 100,250.16

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Solution

The fourth proportional to 415,795.76, 623,688.16 and 100,250.16 is: 150,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,795.76 : 623,688.16 = 100,250.16 : x
  2. Step 2: Convert to fraction form
    415,795.76/623,688.16 = 100,250.16/x
  3. Step 3: Cross multiply
    415,795.76x = 623,688.16 × 100,250.16
  4. Step 4: Simplify right side
    415,795.76x = 62,524,837,830.11
  5. Step 5: Solve for x
    x = 62,524,837,830.11/415,795.76
  6. Step 6: Final answer
    x = 150,373.92

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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.