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Finding the Fourth Proportional to 283,290.60, 424,935.90 and 165,095.40

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Solution

The fourth proportional to 283,290.60, 424,935.90 and 165,095.40 is: 247,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,290.60 : 424,935.90 = 165,095.40 : x
  2. Step 2: Convert to fraction form
    283,290.60/424,935.90 = 165,095.40/x
  3. Step 3: Cross multiply
    283,290.60x = 424,935.90 × 165,095.40
  4. Step 4: Simplify right side
    283,290.60x = 70,154,962,384.86
  5. Step 5: Solve for x
    x = 70,154,962,384.86/283,290.60
  6. Step 6: Final answer
    x = 247,643.10

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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.