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Finding the Fourth Proportional to 287,461.80, 431,192.70 and 282,796.20

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Solution

The fourth proportional to 287,461.80, 431,192.70 and 282,796.20 is: 424,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,461.80 : 431,192.70 = 282,796.20 : x
  2. Step 2: Convert to fraction form
    287,461.80/431,192.70 = 282,796.20/x
  3. Step 3: Cross multiply
    287,461.80x = 431,192.70 × 282,796.20
  4. Step 4: Simplify right side
    287,461.80x = 121,939,657,027.74
  5. Step 5: Solve for x
    x = 121,939,657,027.74/287,461.80
  6. Step 6: Final answer
    x = 424,194.30

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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.