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Finding the Fourth Proportional to 530,653.86, 732,265.38 and 301,215.78

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Solution

The fourth proportional to 530,653.86, 732,265.38 and 301,215.78 is: 415,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,653.86 : 732,265.38 = 301,215.78 : x
  2. Step 2: Convert to fraction form
    530,653.86/732,265.38 = 301,215.78/x
  3. Step 3: Cross multiply
    530,653.86x = 732,265.38 × 301,215.78
  4. Step 4: Simplify right side
    530,653.86x = 220,569,887,603.70
  5. Step 5: Solve for x
    x = 220,569,887,603.70/530,653.86
  6. Step 6: Final answer
    x = 415,656.80

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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.