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Finding the Fourth Proportional to 523,259.43, 722,088.81 and 293,818.52

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Solution

The fourth proportional to 523,259.43, 722,088.81 and 293,818.52 is: 405,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,259.43 : 722,088.81 = 293,818.52 : x
  2. Step 2: Convert to fraction form
    523,259.43/722,088.81 = 293,818.52/x
  3. Step 3: Cross multiply
    523,259.43x = 722,088.81 × 293,818.52
  4. Step 4: Simplify right side
    523,259.43x = 212,163,065,462.76
  5. Step 5: Solve for x
    x = 212,163,065,462.76/523,259.43
  6. Step 6: Final answer
    x = 405,464.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.