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Finding the Fourth Proportional to 496,322.40, 684,985.71 and 292,362.78

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Solution

The fourth proportional to 496,322.40, 684,985.71 and 292,362.78 is: 403,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,322.40 : 684,985.71 = 292,362.78 : x
  2. Step 2: Convert to fraction form
    496,322.40/684,985.71 = 292,362.78/x
  3. Step 3: Cross multiply
    496,322.40x = 684,985.71 × 292,362.78
  4. Step 4: Simplify right side
    496,322.40x = 200,264,326,435.87
  5. Step 5: Solve for x
    x = 200,264,326,435.87/496,322.40
  6. Step 6: Final answer
    x = 403,496.45

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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.