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Finding the Fourth Proportional to 307,297.98, 460,947 and 96,952.32

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Solution

The fourth proportional to 307,297.98, 460,947 and 96,952.32 is: 145,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,297.98 : 460,947 = 96,952.32 : x
  2. Step 2: Convert to fraction form
    307,297.98/460,947 = 96,952.32/x
  3. Step 3: Cross multiply
    307,297.98x = 460,947 × 96,952.32
  4. Step 4: Simplify right side
    307,297.98x = 44,689,881,047.04
  5. Step 5: Solve for x
    x = 44,689,881,047.04/307,297.98
  6. Step 6: Final answer
    x = 145,428.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.