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Finding the Fourth Proportional to 506,146.56, 698,490.54 and 302,215.30

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Solution

The fourth proportional to 506,146.56, 698,490.54 and 302,215.30 is: 417,062.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,146.56 : 698,490.54 = 302,215.30 : x
  2. Step 2: Convert to fraction form
    506,146.56/698,490.54 = 302,215.30/x
  3. Step 3: Cross multiply
    506,146.56x = 698,490.54 × 302,215.30
  4. Step 4: Simplify right side
    506,146.56x = 211,094,528,093.26
  5. Step 5: Solve for x
    x = 211,094,528,093.26/506,146.56
  6. Step 6: Final answer
    x = 417,062.06

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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.