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Finding the Fourth Proportional to 385,702.06, 578,705.38 and 119,483.34

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Solution

The fourth proportional to 385,702.06, 578,705.38 and 119,483.34 is: 179,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,702.06 : 578,705.38 = 119,483.34 : x
  2. Step 2: Convert to fraction form
    385,702.06/578,705.38 = 119,483.34/x
  3. Step 3: Cross multiply
    385,702.06x = 578,705.38 × 119,483.34
  4. Step 4: Simplify right side
    385,702.06x = 69,145,648,784.84
  5. Step 5: Solve for x
    x = 69,145,648,784.84/385,702.06
  6. Step 6: Final answer
    x = 179,272.18

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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.