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Finding the Fourth Proportional to 314,223.05, 471,328.19 and 77,567.78

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Solution

The fourth proportional to 314,223.05, 471,328.19 and 77,567.78 is: 116,350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,223.05 : 471,328.19 = 77,567.78 : x
  2. Step 2: Convert to fraction form
    314,223.05/471,328.19 = 77,567.78/x
  3. Step 3: Cross multiply
    314,223.05x = 471,328.19 × 77,567.78
  4. Step 4: Simplify right side
    314,223.05x = 36,559,881,349.72
  5. Step 5: Solve for x
    x = 36,559,881,349.72/314,223.05
  6. Step 6: Final answer
    x = 116,350.09

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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.