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Finding the Fourth Proportional to 356,878.24, 535,457.46 and 157,058.46

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Solution

The fourth proportional to 356,878.24, 535,457.46 and 157,058.46 is: 235,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,878.24 : 535,457.46 = 157,058.46 : x
  2. Step 2: Convert to fraction form
    356,878.24/535,457.46 = 157,058.46/x
  3. Step 3: Cross multiply
    356,878.24x = 535,457.46 × 157,058.46
  4. Step 4: Simplify right side
    356,878.24x = 84,098,124,063.11
  5. Step 5: Solve for x
    x = 84,098,124,063.11/356,878.24
  6. Step 6: Final answer
    x = 235,649.35

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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.