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Finding the Fourth Proportional to 314,166.80, 438,900.40 and 314,166.80

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Solution

The fourth proportional to 314,166.80, 438,900.40 and 314,166.80 is: 438,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,166.80 : 438,900.40 = 314,166.80 : x
  2. Step 2: Convert to fraction form
    314,166.80/438,900.40 = 314,166.80/x
  3. Step 3: Cross multiply
    314,166.80x = 438,900.40 × 314,166.80
  4. Step 4: Simplify right side
    314,166.80x = 137,887,934,186.72
  5. Step 5: Solve for x
    x = 137,887,934,186.72/314,166.80
  6. Step 6: Final answer
    x = 438,900.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.