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Finding the Fourth Proportional to 295,301.31, 442,592.09 and 153,068.16

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Solution

The fourth proportional to 295,301.31, 442,592.09 and 153,068.16 is: 229,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,301.31 : 442,592.09 = 153,068.16 : x
  2. Step 2: Convert to fraction form
    295,301.31/442,592.09 = 153,068.16/x
  3. Step 3: Cross multiply
    295,301.31x = 442,592.09 × 153,068.16
  4. Step 4: Simplify right side
    295,301.31x = 67,746,756,846.85
  5. Step 5: Solve for x
    x = 67,746,756,846.85/295,301.31
  6. Step 6: Final answer
    x = 229,415.70

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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.