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Finding the Fourth Proportional to 519,050.22, 716,238.63 and 301,225.02

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Solution

The fourth proportional to 519,050.22, 716,238.63 and 301,225.02 is: 415,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,050.22 : 716,238.63 = 301,225.02 : x
  2. Step 2: Convert to fraction form
    519,050.22/716,238.63 = 301,225.02/x
  3. Step 3: Cross multiply
    519,050.22x = 716,238.63 × 301,225.02
  4. Step 4: Simplify right side
    519,050.22x = 215,748,995,646.52
  5. Step 5: Solve for x
    x = 215,748,995,646.52/519,050.22
  6. Step 6: Final answer
    x = 415,661.12

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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.