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Finding the Fourth Proportional to 555,768, 832,319.91 and 285,184.08

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Solution

The fourth proportional to 555,768, 832,319.91 and 285,184.08 is: 427,092.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,768 : 832,319.91 = 285,184.08 : x
  2. Step 2: Convert to fraction form
    555,768/832,319.91 = 285,184.08/x
  3. Step 3: Cross multiply
    555,768x = 832,319.91 × 285,184.08
  4. Step 4: Simplify right side
    555,768x = 237,364,387,799.03
  5. Step 5: Solve for x
    x = 237,364,387,799.03/555,768
  6. Step 6: Final answer
    x = 427,092.58

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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.