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Finding the Fourth Proportional to 293,567.43, 440,389.41 and 83,210.82

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Solution

The fourth proportional to 293,567.43, 440,389.41 and 83,210.82 is: 124,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,567.43 : 440,389.41 = 83,210.82 : x
  2. Step 2: Convert to fraction form
    293,567.43/440,389.41 = 83,210.82/x
  3. Step 3: Cross multiply
    293,567.43x = 440,389.41 × 83,210.82
  4. Step 4: Simplify right side
    293,567.43x = 36,645,163,925.42
  5. Step 5: Solve for x
    x = 36,645,163,925.42/293,567.43
  6. Step 6: Final answer
    x = 124,827.08

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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.