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Finding the Fourth Proportional to 602,509.40, 903,787.62 and 181,785.32

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Solution

The fourth proportional to 602,509.40, 903,787.62 and 181,785.32 is: 272,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,509.40 : 903,787.62 = 181,785.32 : x
  2. Step 2: Convert to fraction form
    602,509.40/903,787.62 = 181,785.32/x
  3. Step 3: Cross multiply
    602,509.40x = 903,787.62 × 181,785.32
  4. Step 4: Simplify right side
    602,509.40x = 164,295,318,999.81
  5. Step 5: Solve for x
    x = 164,295,318,999.81/602,509.40
  6. Step 6: Final answer
    x = 272,685.07

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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.