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Finding the Fourth Proportional to 357,894.11, 536,447.48 and 147,417.23

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Solution

The fourth proportional to 357,894.11, 536,447.48 and 147,417.23 is: 220,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,894.11 : 536,447.48 = 147,417.23 : x
  2. Step 2: Convert to fraction form
    357,894.11/536,447.48 = 147,417.23/x
  3. Step 3: Cross multiply
    357,894.11x = 536,447.48 × 147,417.23
  4. Step 4: Simplify right side
    357,894.11x = 79,081,602,146.11
  5. Step 5: Solve for x
    x = 79,081,602,146.11/357,894.11
  6. Step 6: Final answer
    x = 220,963.69

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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.