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Finding the Fourth Proportional to 503,830.92, 695,362.26 and 382,773

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Solution

The fourth proportional to 503,830.92, 695,362.26 and 382,773 is: 528,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,830.92 : 695,362.26 = 382,773 : x
  2. Step 2: Convert to fraction form
    503,830.92/695,362.26 = 382,773/x
  3. Step 3: Cross multiply
    503,830.92x = 695,362.26 × 382,773
  4. Step 4: Simplify right side
    503,830.92x = 266,165,898,346.98
  5. Step 5: Solve for x
    x = 266,165,898,346.98/503,830.92
  6. Step 6: Final answer
    x = 528,284.17

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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.