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Finding the Fourth Proportional to 507,256.62, 761,164.98 and 282,743.45

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Solution

The fourth proportional to 507,256.62, 761,164.98 and 282,743.45 is: 424,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,256.62 : 761,164.98 = 282,743.45 : x
  2. Step 2: Convert to fraction form
    507,256.62/761,164.98 = 282,743.45/x
  3. Step 3: Cross multiply
    507,256.62x = 761,164.98 × 282,743.45
  4. Step 4: Simplify right side
    507,256.62x = 215,214,412,464.38
  5. Step 5: Solve for x
    x = 215,214,412,464.38/507,256.62
  6. Step 6: Final answer
    x = 424,271.27

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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.