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Finding the Fourth Proportional to 507,003, 761,252.13 and 282,801.48

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Solution

The fourth proportional to 507,003, 761,252.13 and 282,801.48 is: 424,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,003 : 761,252.13 = 282,801.48 : x
  2. Step 2: Convert to fraction form
    507,003/761,252.13 = 282,801.48/x
  3. Step 3: Cross multiply
    507,003x = 761,252.13 × 282,801.48
  4. Step 4: Simplify right side
    507,003x = 215,283,229,017.15
  5. Step 5: Solve for x
    x = 215,283,229,017.15/507,003
  6. Step 6: Final answer
    x = 424,619.24

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1.5x scale

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.