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Finding the Fourth Proportional to 1,017,144, 1,403,724.38 and 564,435

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Solution

The fourth proportional to 1,017,144, 1,403,724.38 and 564,435 is: 778,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,144 : 1,403,724.38 = 564,435 : x
  2. Step 2: Convert to fraction form
    1,017,144/1,403,724.38 = 564,435/x
  3. Step 3: Cross multiply
    1,017,144x = 1,403,724.38 × 564,435
  4. Step 4: Simplify right side
    1,017,144x = 792,311,167,603.13
  5. Step 5: Solve for x
    x = 792,311,167,603.13/1,017,144
  6. Step 6: Final answer
    x = 778,956.73

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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.