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Finding the Fourth Proportional to 536,434.32, 804,802.08 and 157,364

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Solution

The fourth proportional to 536,434.32, 804,802.08 and 157,364 is: 236,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,434.32 : 804,802.08 = 157,364 : x
  2. Step 2: Convert to fraction form
    536,434.32/804,802.08 = 157,364/x
  3. Step 3: Cross multiply
    536,434.32x = 804,802.08 × 157,364
  4. Step 4: Simplify right side
    536,434.32x = 126,646,874,517.12
  5. Step 5: Solve for x
    x = 126,646,874,517.12/536,434.32
  6. Step 6: Final answer
    x = 236,090.18

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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.