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Finding the Fourth Proportional to 357,402.50, 535,946.31 and 167,916.74

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Solution

The fourth proportional to 357,402.50, 535,946.31 and 167,916.74 is: 251,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,402.50 : 535,946.31 = 167,916.74 : x
  2. Step 2: Convert to fraction form
    357,402.50/535,946.31 = 167,916.74/x
  3. Step 3: Cross multiply
    357,402.50x = 535,946.31 × 167,916.74
  4. Step 4: Simplify right side
    357,402.50x = 89,994,354,510.50
  5. Step 5: Solve for x
    x = 89,994,354,510.50/357,402.50
  6. Step 6: Final answer
    x = 251,801.14

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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.