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Finding the Fourth Proportional to 565,188.68, 847,821.90 and 191,085.32

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Solution

The fourth proportional to 565,188.68, 847,821.90 and 191,085.32 is: 286,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,188.68 : 847,821.90 = 191,085.32 : x
  2. Step 2: Convert to fraction form
    565,188.68/847,821.90 = 191,085.32/x
  3. Step 3: Cross multiply
    565,188.68x = 847,821.90 × 191,085.32
  4. Step 4: Simplify right side
    565,188.68x = 162,006,319,064.51
  5. Step 5: Solve for x
    x = 162,006,319,064.51/565,188.68
  6. Step 6: Final answer
    x = 286,641.12

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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.