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Finding the Fourth Proportional to 538,457.84, 807,531.22 and 183,464

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Solution

The fourth proportional to 538,457.84, 807,531.22 and 183,464 is: 275,143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,457.84 : 807,531.22 = 183,464 : x
  2. Step 2: Convert to fraction form
    538,457.84/807,531.22 = 183,464/x
  3. Step 3: Cross multiply
    538,457.84x = 807,531.22 × 183,464
  4. Step 4: Simplify right side
    538,457.84x = 148,152,907,746.08
  5. Step 5: Solve for x
    x = 148,152,907,746.08/538,457.84
  6. Step 6: Final answer
    x = 275,143.00

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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.