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Finding the Fourth Proportional to 530,738.72, 732,412.16 and 301,294

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Solution

The fourth proportional to 530,738.72, 732,412.16 and 301,294 is: 415,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,738.72 : 732,412.16 = 301,294 : x
  2. Step 2: Convert to fraction form
    530,738.72/732,412.16 = 301,294/x
  3. Step 3: Cross multiply
    530,738.72x = 732,412.16 × 301,294
  4. Step 4: Simplify right side
    530,738.72x = 220,671,389,335.04
  5. Step 5: Solve for x
    x = 220,671,389,335.04/530,738.72
  6. Step 6: Final answer
    x = 415,781.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.