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Finding the Fourth Proportional to 402,244.92, 602,448.84 and 192,030.48

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Solution

The fourth proportional to 402,244.92, 602,448.84 and 192,030.48 is: 287,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,244.92 : 602,448.84 = 192,030.48 : x
  2. Step 2: Convert to fraction form
    402,244.92/602,448.84 = 192,030.48/x
  3. Step 3: Cross multiply
    402,244.92x = 602,448.84 × 192,030.48
  4. Step 4: Simplify right side
    402,244.92x = 115,688,539,920.64
  5. Step 5: Solve for x
    x = 115,688,539,920.64/402,244.92
  6. Step 6: Final answer
    x = 287,607.21

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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.