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Finding the Fourth Proportional to 564,010.83, 778,434.45 and 334,694.57

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Solution

The fourth proportional to 564,010.83, 778,434.45 and 334,694.57 is: 461,937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,010.83 : 778,434.45 = 334,694.57 : x
  2. Step 2: Convert to fraction form
    564,010.83/778,434.45 = 334,694.57/x
  3. Step 3: Cross multiply
    564,010.83x = 778,434.45 × 334,694.57
  4. Step 4: Simplify right side
    564,010.83x = 260,537,779,623.76
  5. Step 5: Solve for x
    x = 260,537,779,623.76/564,010.83
  6. Step 6: Final answer
    x = 461,937.55

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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.