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Finding the Fourth Proportional to 564,206.34, 778,493.52 and 334,720.65

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Solution

The fourth proportional to 564,206.34, 778,493.52 and 334,720.65 is: 461,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,206.34 : 778,493.52 = 334,720.65 : x
  2. Step 2: Convert to fraction form
    564,206.34/778,493.52 = 334,720.65/x
  3. Step 3: Cross multiply
    564,206.34x = 778,493.52 × 334,720.65
  4. Step 4: Simplify right side
    564,206.34x = 260,577,857,035.19
  5. Step 5: Solve for x
    x = 260,577,857,035.19/564,206.34
  6. Step 6: Final answer
    x = 461,848.51

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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.