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Finding the Fourth Proportional to 286,547.10, 395,411.67 and 171,851.10

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Solution

The fourth proportional to 286,547.10, 395,411.67 and 171,851.10 is: 237,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,547.10 : 395,411.67 = 171,851.10 : x
  2. Step 2: Convert to fraction form
    286,547.10/395,411.67 = 171,851.10/x
  3. Step 3: Cross multiply
    286,547.10x = 395,411.67 × 171,851.10
  4. Step 4: Simplify right side
    286,547.10x = 67,951,930,442.34
  5. Step 5: Solve for x
    x = 67,951,930,442.34/286,547.10
  6. Step 6: Final answer
    x = 237,140.53

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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.