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Finding the Fourth Proportional to 503,831.42, 695,362.95 and 382,773.50

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Solution

The fourth proportional to 503,831.42, 695,362.95 and 382,773.50 is: 528,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,831.42 : 695,362.95 = 382,773.50 : x
  2. Step 2: Convert to fraction form
    503,831.42/695,362.95 = 382,773.50/x
  3. Step 3: Cross multiply
    503,831.42x = 695,362.95 × 382,773.50
  4. Step 4: Simplify right side
    503,831.42x = 266,166,510,141.83
  5. Step 5: Solve for x
    x = 266,166,510,141.83/503,831.42
  6. Step 6: Final answer
    x = 528,284.86

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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.