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Finding the Fourth Proportional to 523,345.74, 722,215.08 and 293,871.12

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Solution

The fourth proportional to 523,345.74, 722,215.08 and 293,871.12 is: 405,541.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,345.74 : 722,215.08 = 293,871.12 : x
  2. Step 2: Convert to fraction form
    523,345.74/722,215.08 = 293,871.12/x
  3. Step 3: Cross multiply
    523,345.74x = 722,215.08 × 293,871.12
  4. Step 4: Simplify right side
    523,345.74x = 212,238,154,440.49
  5. Step 5: Solve for x
    x = 212,238,154,440.49/523,345.74
  6. Step 6: Final answer
    x = 405,541.00

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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.