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Finding the Fourth Proportional to 506,534.50, 760,064.19 and 257,216.50

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Solution

The fourth proportional to 506,534.50, 760,064.19 and 257,216.50 is: 385,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,534.50 : 760,064.19 = 257,216.50 : x
  2. Step 2: Convert to fraction form
    506,534.50/760,064.19 = 257,216.50/x
  3. Step 3: Cross multiply
    506,534.50x = 760,064.19 × 257,216.50
  4. Step 4: Simplify right side
    506,534.50x = 195,501,050,727.14
  5. Step 5: Solve for x
    x = 195,501,050,727.14/506,534.50
  6. Step 6: Final answer
    x = 385,958.02

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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.