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Finding the Fourth Proportional to 379,687.04, 569,875.52 and 202,345.60

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Solution

The fourth proportional to 379,687.04, 569,875.52 and 202,345.60 is: 303,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,687.04 : 569,875.52 = 202,345.60 : x
  2. Step 2: Convert to fraction form
    379,687.04/569,875.52 = 202,345.60/x
  3. Step 3: Cross multiply
    379,687.04x = 569,875.52 × 202,345.60
  4. Step 4: Simplify right side
    379,687.04x = 115,311,804,019.71
  5. Step 5: Solve for x
    x = 115,311,804,019.71/379,687.04
  6. Step 6: Final answer
    x = 303,702.24

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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.