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Finding the Fourth Proportional to 382,547.52, 527,878.08 and 212,771.52

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Solution

The fourth proportional to 382,547.52, 527,878.08 and 212,771.52 is: 293,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,547.52 : 527,878.08 = 212,771.52 : x
  2. Step 2: Convert to fraction form
    382,547.52/527,878.08 = 212,771.52/x
  3. Step 3: Cross multiply
    382,547.52x = 527,878.08 × 212,771.52
  4. Step 4: Simplify right side
    382,547.52x = 112,317,421,456.28
  5. Step 5: Solve for x
    x = 112,317,421,456.28/382,547.52
  6. Step 6: Final answer
    x = 293,603.84

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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.