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Finding the Fourth Proportional to 510,873.24, 766,307.70 and 155,886.06

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Solution

The fourth proportional to 510,873.24, 766,307.70 and 155,886.06 is: 233,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,873.24 : 766,307.70 = 155,886.06 : x
  2. Step 2: Convert to fraction form
    510,873.24/766,307.70 = 155,886.06/x
  3. Step 3: Cross multiply
    510,873.24x = 766,307.70 × 155,886.06
  4. Step 4: Simplify right side
    510,873.24x = 119,456,688,100.66
  5. Step 5: Solve for x
    x = 119,456,688,100.66/510,873.24
  6. Step 6: Final answer
    x = 233,828.43

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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.