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Finding the Fourth Proportional to 564,664.34, 778,894.70 and 335,070.66

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Solution

The fourth proportional to 564,664.34, 778,894.70 and 335,070.66 is: 462,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,664.34 : 778,894.70 = 335,070.66 : x
  2. Step 2: Convert to fraction form
    564,664.34/778,894.70 = 335,070.66/x
  3. Step 3: Cross multiply
    564,664.34x = 778,894.70 × 335,070.66
  4. Step 4: Simplify right side
    564,664.34x = 260,984,761,199.50
  5. Step 5: Solve for x
    x = 260,984,761,199.50/564,664.34
  6. Step 6: Final answer
    x = 462,194.52

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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.