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Finding the Fourth Proportional to 282,641.16, 423,038.70 and 207,741.48

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Solution

The fourth proportional to 282,641.16, 423,038.70 and 207,741.48 is: 310,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,641.16 : 423,038.70 = 207,741.48 : x
  2. Step 2: Convert to fraction form
    282,641.16/423,038.70 = 207,741.48/x
  3. Step 3: Cross multiply
    282,641.16x = 423,038.70 × 207,741.48
  4. Step 4: Simplify right side
    282,641.16x = 87,882,685,635.28
  5. Step 5: Solve for x
    x = 87,882,685,635.28/282,641.16
  6. Step 6: Final answer
    x = 310,933.78

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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.