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Finding the Fourth Proportional to 543,656.51, 750,202.07 and 314,228.65

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Solution

The fourth proportional to 543,656.51, 750,202.07 and 314,228.65 is: 433,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,656.51 : 750,202.07 = 314,228.65 : x
  2. Step 2: Convert to fraction form
    543,656.51/750,202.07 = 314,228.65/x
  3. Step 3: Cross multiply
    543,656.51x = 750,202.07 × 314,228.65
  4. Step 4: Simplify right side
    543,656.51x = 235,734,980,236.66
  5. Step 5: Solve for x
    x = 235,734,980,236.66/543,656.51
  6. Step 6: Final answer
    x = 433,610.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.