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Finding the Fourth Proportional to 292,531.80, 438,812.10 and 152,563.80

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Solution

The fourth proportional to 292,531.80, 438,812.10 and 152,563.80 is: 228,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,531.80 : 438,812.10 = 152,563.80 : x
  2. Step 2: Convert to fraction form
    292,531.80/438,812.10 = 152,563.80/x
  3. Step 3: Cross multiply
    292,531.80x = 438,812.10 × 152,563.80
  4. Step 4: Simplify right side
    292,531.80x = 66,946,841,461.98
  5. Step 5: Solve for x
    x = 66,946,841,461.98/292,531.80
  6. Step 6: Final answer
    x = 228,853.21

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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.