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Finding the Fourth Proportional to 508,192.83, 761,272.92 and 305,677.08

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Solution

The fourth proportional to 508,192.83, 761,272.92 and 305,677.08 is: 457,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,192.83 : 761,272.92 = 305,677.08 : x
  2. Step 2: Convert to fraction form
    508,192.83/761,272.92 = 305,677.08/x
  3. Step 3: Cross multiply
    508,192.83x = 761,272.92 × 305,677.08
  4. Step 4: Simplify right side
    508,192.83x = 232,703,683,268.67
  5. Step 5: Solve for x
    x = 232,703,683,268.67/508,192.83
  6. Step 6: Final answer
    x = 457,904.30

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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.