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Finding the Fourth Proportional to 301,515.28, 416,285.79 and 186,916.39

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Solution

The fourth proportional to 301,515.28, 416,285.79 and 186,916.39 is: 258,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,515.28 : 416,285.79 = 186,916.39 : x
  2. Step 2: Convert to fraction form
    301,515.28/416,285.79 = 186,916.39/x
  3. Step 3: Cross multiply
    301,515.28x = 416,285.79 × 186,916.39
  4. Step 4: Simplify right side
    301,515.28x = 77,810,637,075.10
  5. Step 5: Solve for x
    x = 77,810,637,075.10/301,515.28
  6. Step 6: Final answer
    x = 258,065.32

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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.