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Finding the Fourth Proportional to 310,887, 429,024.06 and 176,751

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Solution

The fourth proportional to 310,887, 429,024.06 and 176,751 is: 243,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,887 : 429,024.06 = 176,751 : x
  2. Step 2: Convert to fraction form
    310,887/429,024.06 = 176,751/x
  3. Step 3: Cross multiply
    310,887x = 429,024.06 × 176,751
  4. Step 4: Simplify right side
    310,887x = 75,830,431,629.06
  5. Step 5: Solve for x
    x = 75,830,431,629.06/310,887
  6. Step 6: Final answer
    x = 243,916.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.