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Finding the Fourth Proportional to 475,167.42, 712,985.31 and 222,465.02

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Solution

The fourth proportional to 475,167.42, 712,985.31 and 222,465.02 is: 333,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,167.42 : 712,985.31 = 222,465.02 : x
  2. Step 2: Convert to fraction form
    475,167.42/712,985.31 = 222,465.02/x
  3. Step 3: Cross multiply
    475,167.42x = 712,985.31 × 222,465.02
  4. Step 4: Simplify right side
    475,167.42x = 158,614,287,683.93
  5. Step 5: Solve for x
    x = 158,614,287,683.93/475,167.42
  6. Step 6: Final answer
    x = 333,807.16

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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.