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Finding the Fourth Proportional to 377,878.12, 566,683.58 and 111,567.40

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Solution

The fourth proportional to 377,878.12, 566,683.58 and 111,567.40 is: 167,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,878.12 : 566,683.58 = 111,567.40 : x
  2. Step 2: Convert to fraction form
    377,878.12/566,683.58 = 111,567.40/x
  3. Step 3: Cross multiply
    377,878.12x = 566,683.58 × 111,567.40
  4. Step 4: Simplify right side
    377,878.12x = 63,223,413,643.29
  5. Step 5: Solve for x
    x = 63,223,413,643.29/377,878.12
  6. Step 6: Final answer
    x = 167,311.65

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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.