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Finding the Fourth Proportional to 335,232, 502,878.24 and 85,916.16

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Solution

The fourth proportional to 335,232, 502,878.24 and 85,916.16 is: 128,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,232 : 502,878.24 = 85,916.16 : x
  2. Step 2: Convert to fraction form
    335,232/502,878.24 = 85,916.16/x
  3. Step 3: Cross multiply
    335,232x = 502,878.24 × 85,916.16
  4. Step 4: Simplify right side
    335,232x = 43,205,367,328.36
  5. Step 5: Solve for x
    x = 43,205,367,328.36/335,232
  6. Step 6: Final answer
    x = 128,881.99

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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.