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Finding the Fourth Proportional to 710,694, 1,066,225.68 and 212,058

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Solution

The fourth proportional to 710,694, 1,066,225.68 and 212,058 is: 318,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,694 : 1,066,225.68 = 212,058 : x
  2. Step 2: Convert to fraction form
    710,694/1,066,225.68 = 212,058/x
  3. Step 3: Cross multiply
    710,694x = 1,066,225.68 × 212,058
  4. Step 4: Simplify right side
    710,694x = 226,101,685,249.44
  5. Step 5: Solve for x
    x = 226,101,685,249.44/710,694
  6. Step 6: Final answer
    x = 318,142.11

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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.