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Finding the Fourth Proportional to 501,164.10, 751,746.15 and 342,533.70

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Solution

The fourth proportional to 501,164.10, 751,746.15 and 342,533.70 is: 513,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,164.10 : 751,746.15 = 342,533.70 : x
  2. Step 2: Convert to fraction form
    501,164.10/751,746.15 = 342,533.70/x
  3. Step 3: Cross multiply
    501,164.10x = 751,746.15 × 342,533.70
  4. Step 4: Simplify right side
    501,164.10x = 257,498,390,220.26
  5. Step 5: Solve for x
    x = 257,498,390,220.26/501,164.10
  6. Step 6: Final answer
    x = 513,800.55

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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.