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Finding the Fourth Proportional to 501,184.56, 750,106.88 and 400,874.16

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Solution

The fourth proportional to 501,184.56, 750,106.88 and 400,874.16 is: 599,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,184.56 : 750,106.88 = 400,874.16 : x
  2. Step 2: Convert to fraction form
    501,184.56/750,106.88 = 400,874.16/x
  3. Step 3: Cross multiply
    501,184.56x = 750,106.88 × 400,874.16
  4. Step 4: Simplify right side
    501,184.56x = 300,698,465,430.22
  5. Step 5: Solve for x
    x = 300,698,465,430.22/501,184.56
  6. Step 6: Final answer
    x = 599,975.52

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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.