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Finding the Fourth Proportional to 530,824, 732,537.12 and 292,360

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Solution

The fourth proportional to 530,824, 732,537.12 and 292,360 is: 403,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,824 : 732,537.12 = 292,360 : x
  2. Step 2: Convert to fraction form
    530,824/732,537.12 = 292,360/x
  3. Step 3: Cross multiply
    530,824x = 732,537.12 × 292,360
  4. Step 4: Simplify right side
    530,824x = 214,164,552,403.20
  5. Step 5: Solve for x
    x = 214,164,552,403.20/530,824
  6. Step 6: Final answer
    x = 403,456.80

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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.