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Finding the Fourth Proportional to 292,421.20, 438,048.60 and 152,258.80

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Solution

The fourth proportional to 292,421.20, 438,048.60 and 152,258.80 is: 228,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,421.20 : 438,048.60 = 152,258.80 : x
  2. Step 2: Convert to fraction form
    292,421.20/438,048.60 = 152,258.80/x
  3. Step 3: Cross multiply
    292,421.20x = 438,048.60 × 152,258.80
  4. Step 4: Simplify right side
    292,421.20x = 66,696,754,177.68
  5. Step 5: Solve for x
    x = 66,696,754,177.68/292,421.20
  6. Step 6: Final answer
    x = 228,084.54

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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.