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Finding the Fourth Proportional to 286,841.59, 430,068.27 and 160,569.02

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Solution

The fourth proportional to 286,841.59, 430,068.27 and 160,569.02 is: 240,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,841.59 : 430,068.27 = 160,569.02 : x
  2. Step 2: Convert to fraction form
    286,841.59/430,068.27 = 160,569.02/x
  3. Step 3: Cross multiply
    286,841.59x = 430,068.27 × 160,569.02
  4. Step 4: Simplify right side
    286,841.59x = 69,055,640,647.00
  5. Step 5: Solve for x
    x = 69,055,640,647.00/286,841.59
  6. Step 6: Final answer
    x = 240,744.87

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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.