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Finding the Fourth Proportional to 295,047.88, 442,768.66 and 153,024.10

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Solution

The fourth proportional to 295,047.88, 442,768.66 and 153,024.10 is: 229,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,047.88 : 442,768.66 = 153,024.10 : x
  2. Step 2: Convert to fraction form
    295,047.88/442,768.66 = 153,024.10/x
  3. Step 3: Cross multiply
    295,047.88x = 442,768.66 × 153,024.10
  4. Step 4: Simplify right side
    295,047.88x = 67,754,275,704.71
  5. Step 5: Solve for x
    x = 67,754,275,704.71/295,047.88
  6. Step 6: Final answer
    x = 229,638.24

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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.