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Finding the Fourth Proportional to 834,253, 1,152,219.54 and 565,514.44

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Solution

The fourth proportional to 834,253, 1,152,219.54 and 565,514.44 is: 781,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,253 : 1,152,219.54 = 565,514.44 : x
  2. Step 2: Convert to fraction form
    834,253/1,152,219.54 = 565,514.44/x
  3. Step 3: Cross multiply
    834,253x = 1,152,219.54 × 565,514.44
  4. Step 4: Simplify right side
    834,253x = 651,596,787,920.16
  5. Step 5: Solve for x
    x = 651,596,787,920.16/834,253
  6. Step 6: Final answer
    x = 781,054.17

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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.