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Finding the Fourth Proportional to 1,543,307, 2,129,764.74 and 864,259.16

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Solution

The fourth proportional to 1,543,307, 2,129,764.74 and 864,259.16 is: 1,192,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543,307 : 2,129,764.74 = 864,259.16 : x
  2. Step 2: Convert to fraction form
    1,543,307/2,129,764.74 = 864,259.16/x
  3. Step 3: Cross multiply
    1,543,307x = 2,129,764.74 × 864,259.16
  4. Step 4: Simplify right side
    1,543,307x = 1,840,668,685,190.02
  5. Step 5: Solve for x
    x = 1,840,668,685,190.02/1,543,307
  6. Step 6: Final answer
    x = 1,192,678.25

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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.