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Finding the Fourth Proportional to 523,463.51, 722,828.71 and 506,536.13

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Solution

The fourth proportional to 523,463.51, 722,828.71 and 506,536.13 is: 699,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,463.51 : 722,828.71 = 506,536.13 : x
  2. Step 2: Convert to fraction form
    523,463.51/722,828.71 = 506,536.13/x
  3. Step 3: Cross multiply
    523,463.51x = 722,828.71 × 506,536.13
  4. Step 4: Simplify right side
    523,463.51x = 366,138,859,856.53
  5. Step 5: Solve for x
    x = 366,138,859,856.53/523,463.51
  6. Step 6: Final answer
    x = 699,454.41

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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.