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Finding the Fourth Proportional to 568,865.34, 785,019.18 and 314,211.06

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Solution

The fourth proportional to 568,865.34, 785,019.18 and 314,211.06 is: 433,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,865.34 : 785,019.18 = 314,211.06 : x
  2. Step 2: Convert to fraction form
    568,865.34/785,019.18 = 314,211.06/x
  3. Step 3: Cross multiply
    568,865.34x = 785,019.18 × 314,211.06
  4. Step 4: Simplify right side
    568,865.34x = 246,661,708,668.13
  5. Step 5: Solve for x
    x = 246,661,708,668.13/568,865.34
  6. Step 6: Final answer
    x = 433,602.98

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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.