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Finding the Fourth Proportional to 314,416.66, 471,328.52 and 156,495.82

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Solution

The fourth proportional to 314,416.66, 471,328.52 and 156,495.82 is: 234,596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,416.66 : 471,328.52 = 156,495.82 : x
  2. Step 2: Convert to fraction form
    314,416.66/471,328.52 = 156,495.82/x
  3. Step 3: Cross multiply
    314,416.66x = 471,328.52 × 156,495.82
  4. Step 4: Simplify right side
    314,416.66x = 73,760,943,226.79
  5. Step 5: Solve for x
    x = 73,760,943,226.79/314,416.66
  6. Step 6: Final answer
    x = 234,596.17

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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.