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Finding the Fourth Proportional to 390,677.29, 586,038.62 and 150,792.55

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Solution

The fourth proportional to 390,677.29, 586,038.62 and 150,792.55 is: 226,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,677.29 : 586,038.62 = 150,792.55 : x
  2. Step 2: Convert to fraction form
    390,677.29/586,038.62 = 150,792.55/x
  3. Step 3: Cross multiply
    390,677.29x = 586,038.62 × 150,792.55
  4. Step 4: Simplify right side
    390,677.29x = 88,370,257,220.18
  5. Step 5: Solve for x
    x = 88,370,257,220.18/390,677.29
  6. Step 6: Final answer
    x = 226,197.58

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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.