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Finding the Fourth Proportional to 292,227.30, 438,355.35 and 152,259.30

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Solution

The fourth proportional to 292,227.30, 438,355.35 and 152,259.30 is: 228,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,227.30 : 438,355.35 = 152,259.30 : x
  2. Step 2: Convert to fraction form
    292,227.30/438,355.35 = 152,259.30/x
  3. Step 3: Cross multiply
    292,227.30x = 438,355.35 × 152,259.30
  4. Step 4: Simplify right side
    292,227.30x = 66,743,678,742.26
  5. Step 5: Solve for x
    x = 66,743,678,742.26/292,227.30
  6. Step 6: Final answer
    x = 228,396.45

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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.