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Finding the Fourth Proportional to 345,345.50, 517,061.66 and 176,502.26

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Solution

The fourth proportional to 345,345.50, 517,061.66 and 176,502.26 is: 264,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,345.50 : 517,061.66 = 176,502.26 : x
  2. Step 2: Convert to fraction form
    345,345.50/517,061.66 = 176,502.26/x
  3. Step 3: Cross multiply
    345,345.50x = 517,061.66 × 176,502.26
  4. Step 4: Simplify right side
    345,345.50x = 91,262,551,959.49
  5. Step 5: Solve for x
    x = 91,262,551,959.49/345,345.50
  6. Step 6: Final answer
    x = 264,264.49

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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.