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Finding the Fourth Proportional to 314,382.93, 470,125.82 and 233,482.72

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Solution

The fourth proportional to 314,382.93, 470,125.82 and 233,482.72 is: 349,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,382.93 : 470,125.82 = 233,482.72 : x
  2. Step 2: Convert to fraction form
    314,382.93/470,125.82 = 233,482.72/x
  3. Step 3: Cross multiply
    314,382.93x = 470,125.82 × 233,482.72
  4. Step 4: Simplify right side
    314,382.93x = 109,766,255,195.83
  5. Step 5: Solve for x
    x = 109,766,255,195.83/314,382.93
  6. Step 6: Final answer
    x = 349,148.27

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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.