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Finding the Fourth Proportional to 511,038, 704,854.64 and 375,026

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Solution

The fourth proportional to 511,038, 704,854.64 and 375,026 is: 517,258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,038 : 704,854.64 = 375,026 : x
  2. Step 2: Convert to fraction form
    511,038/704,854.64 = 375,026/x
  3. Step 3: Cross multiply
    511,038x = 704,854.64 × 375,026
  4. Step 4: Simplify right side
    511,038x = 264,338,816,220.64
  5. Step 5: Solve for x
    x = 264,338,816,220.64/511,038
  6. Step 6: Final answer
    x = 517,258.63

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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.