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Finding the Fourth Proportional to 564,787.71, 847,155.65 and 190,813.95

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Solution

The fourth proportional to 564,787.71, 847,155.65 and 190,813.95 is: 286,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,787.71 : 847,155.65 = 190,813.95 : x
  2. Step 2: Convert to fraction form
    564,787.71/847,155.65 = 190,813.95/x
  3. Step 3: Cross multiply
    564,787.71x = 847,155.65 × 190,813.95
  4. Step 4: Simplify right side
    564,787.71x = 161,649,114,887.25
  5. Step 5: Solve for x
    x = 161,649,114,887.25/564,787.71
  6. Step 6: Final answer
    x = 286,212.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.