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Finding the Fourth Proportional to 242,565.40, 363,404.74 and 175,840.02

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Solution

The fourth proportional to 242,565.40, 363,404.74 and 175,840.02 is: 263,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,565.40 : 363,404.74 = 175,840.02 : x
  2. Step 2: Convert to fraction form
    242,565.40/363,404.74 = 175,840.02/x
  3. Step 3: Cross multiply
    242,565.40x = 363,404.74 × 175,840.02
  4. Step 4: Simplify right side
    242,565.40x = 63,901,096,749.69
  5. Step 5: Solve for x
    x = 63,901,096,749.69/242,565.40
  6. Step 6: Final answer
    x = 263,438.63

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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.