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Finding the Fourth Proportional to 407,411.20, 612,038.40 and 282,995.20

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Solution

The fourth proportional to 407,411.20, 612,038.40 and 282,995.20 is: 425,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,411.20 : 612,038.40 = 282,995.20 : x
  2. Step 2: Convert to fraction form
    407,411.20/612,038.40 = 282,995.20/x
  3. Step 3: Cross multiply
    407,411.20x = 612,038.40 × 282,995.20
  4. Step 4: Simplify right side
    407,411.20x = 173,203,929,415.68
  5. Step 5: Solve for x
    x = 173,203,929,415.68/407,411.20
  6. Step 6: Final answer
    x = 425,132.96

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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.