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Finding the Fourth Proportional to 292,215.80, 438,338.10 and 152,247.80

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Solution

The fourth proportional to 292,215.80, 438,338.10 and 152,247.80 is: 228,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,215.80 : 438,338.10 = 152,247.80 : x
  2. Step 2: Convert to fraction form
    292,215.80/438,338.10 = 152,247.80/x
  3. Step 3: Cross multiply
    292,215.80x = 438,338.10 × 152,247.80
  4. Step 4: Simplify right side
    292,215.80x = 66,736,011,381.18
  5. Step 5: Solve for x
    x = 66,736,011,381.18/292,215.80
  6. Step 6: Final answer
    x = 228,379.20

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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.