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Finding the Fourth Proportional to 402,114.66, 602,253.02 and 191,900.22

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Solution

The fourth proportional to 402,114.66, 602,253.02 and 191,900.22 is: 287,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,114.66 : 602,253.02 = 191,900.22 : x
  2. Step 2: Convert to fraction form
    402,114.66/602,253.02 = 191,900.22/x
  3. Step 3: Cross multiply
    402,114.66x = 602,253.02 × 191,900.22
  4. Step 4: Simplify right side
    402,114.66x = 115,572,487,033.66
  5. Step 5: Solve for x
    x = 115,572,487,033.66/402,114.66
  6. Step 6: Final answer
    x = 287,411.77

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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.