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Finding the Fourth Proportional to 564,568.01, 778,913.82 and 360,738.09

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Solution

The fourth proportional to 564,568.01, 778,913.82 and 360,738.09 is: 497,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,568.01 : 778,913.82 = 360,738.09 : x
  2. Step 2: Convert to fraction form
    564,568.01/778,913.82 = 360,738.09/x
  3. Step 3: Cross multiply
    564,568.01x = 778,913.82 × 360,738.09
  4. Step 4: Simplify right side
    564,568.01x = 280,983,883,701.40
  5. Step 5: Solve for x
    x = 280,983,883,701.40/564,568.01
  6. Step 6: Final answer
    x = 497,697.14

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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.