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Finding the Fourth Proportional to 523,864.76, 789,297.72 and 473,322.53

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Solution

The fourth proportional to 523,864.76, 789,297.72 and 473,322.53 is: 713,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,864.76 : 789,297.72 = 473,322.53 : x
  2. Step 2: Convert to fraction form
    523,864.76/789,297.72 = 473,322.53/x
  3. Step 3: Cross multiply
    523,864.76x = 789,297.72 × 473,322.53
  4. Step 4: Simplify right side
    523,864.76x = 373,592,395,726.88
  5. Step 5: Solve for x
    x = 373,592,395,726.88/523,864.76
  6. Step 6: Final answer
    x = 713,146.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.