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Finding the Fourth Proportional to 563,679, 778,285.26 and 362,824.92

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Solution

The fourth proportional to 563,679, 778,285.26 and 362,824.92 is: 500,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,679 : 778,285.26 = 362,824.92 : x
  2. Step 2: Convert to fraction form
    563,679/778,285.26 = 362,824.92/x
  3. Step 3: Cross multiply
    563,679x = 778,285.26 × 362,824.92
  4. Step 4: Simplify right side
    563,679x = 282,381,287,196.68
  5. Step 5: Solve for x
    x = 282,381,287,196.68/563,679
  6. Step 6: Final answer
    x = 500,961.16

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1.5x scale

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.