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Finding the Fourth Proportional to 362,502.02, 500,139.93 and 209,484.47

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Solution

The fourth proportional to 362,502.02, 500,139.93 and 209,484.47 is: 289,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,502.02 : 500,139.93 = 209,484.47 : x
  2. Step 2: Convert to fraction form
    362,502.02/500,139.93 = 209,484.47/x
  3. Step 3: Cross multiply
    362,502.02x = 500,139.93 × 209,484.47
  4. Step 4: Simplify right side
    362,502.02x = 104,771,548,161.89
  5. Step 5: Solve for x
    x = 104,771,548,161.89/362,502.02
  6. Step 6: Final answer
    x = 289,023.35

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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.