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Finding the Fourth Proportional to 507,646.25, 761,303.28 and 237,690.83

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Solution

The fourth proportional to 507,646.25, 761,303.28 and 237,690.83 is: 356,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,646.25 : 761,303.28 = 237,690.83 : x
  2. Step 2: Convert to fraction form
    507,646.25/761,303.28 = 237,690.83/x
  3. Step 3: Cross multiply
    507,646.25x = 761,303.28 × 237,690.83
  4. Step 4: Simplify right side
    507,646.25x = 180,954,808,489.85
  5. Step 5: Solve for x
    x = 180,954,808,489.85/507,646.25
  6. Step 6: Final answer
    x = 356,458.48

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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.