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Finding the Fourth Proportional to 472,703.77, 709,234.80 and 283,300.06

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Solution

The fourth proportional to 472,703.77, 709,234.80 and 283,300.06 is: 425,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,703.77 : 709,234.80 = 283,300.06 : x
  2. Step 2: Convert to fraction form
    472,703.77/709,234.80 = 283,300.06/x
  3. Step 3: Cross multiply
    472,703.77x = 709,234.80 × 283,300.06
  4. Step 4: Simplify right side
    472,703.77x = 200,926,256,431.41
  5. Step 5: Solve for x
    x = 200,926,256,431.41/472,703.77
  6. Step 6: Final answer
    x = 425,057.45

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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.