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Finding the Fourth Proportional to 340,275.01, 510,350.54 and 100,339.24

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Solution

The fourth proportional to 340,275.01, 510,350.54 and 100,339.24 is: 150,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,275.01 : 510,350.54 = 100,339.24 : x
  2. Step 2: Convert to fraction form
    340,275.01/510,350.54 = 100,339.24/x
  3. Step 3: Cross multiply
    340,275.01x = 510,350.54 × 100,339.24
  4. Step 4: Simplify right side
    340,275.01x = 51,208,184,292.16
  5. Step 5: Solve for x
    x = 51,208,184,292.16/340,275.01
  6. Step 6: Final answer
    x = 150,490.58

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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.