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Finding the Fourth Proportional to 780,802.42, 1,077,507.89 and 423,106.42

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Solution

The fourth proportional to 780,802.42, 1,077,507.89 and 423,106.42 is: 583,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,802.42 : 1,077,507.89 = 423,106.42 : x
  2. Step 2: Convert to fraction form
    780,802.42/1,077,507.89 = 423,106.42/x
  3. Step 3: Cross multiply
    780,802.42x = 1,077,507.89 × 423,106.42
  4. Step 4: Simplify right side
    780,802.42x = 455,900,505,859.65
  5. Step 5: Solve for x
    x = 455,900,505,859.65/780,802.42
  6. Step 6: Final answer
    x = 583,887.16

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