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Finding the Fourth Proportional to 506,832.15, 699,359.13 and 302,840.00

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Solution

The fourth proportional to 506,832.15, 699,359.13 and 302,840.00 is: 417,877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,832.15 : 699,359.13 = 302,840.00 : x
  2. Step 2: Convert to fraction form
    506,832.15/699,359.13 = 302,840.00/x
  3. Step 3: Cross multiply
    506,832.15x = 699,359.13 × 302,840.00
  4. Step 4: Simplify right side
    506,832.15x = 211,793,915,432.40
  5. Step 5: Solve for x
    x = 211,793,915,432.40/506,832.15
  6. Step 6: Final answer
    x = 417,877.82

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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.