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Finding the Fourth Proportional to 301,710, 416,328.48 and 174,426.24

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Solution

The fourth proportional to 301,710, 416,328.48 and 174,426.24 is: 240,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,710 : 416,328.48 = 174,426.24 : x
  2. Step 2: Convert to fraction form
    301,710/416,328.48 = 174,426.24/x
  3. Step 3: Cross multiply
    301,710x = 416,328.48 × 174,426.24
  4. Step 4: Simplify right side
    301,710x = 72,618,611,371.32
  5. Step 5: Solve for x
    x = 72,618,611,371.32/301,710
  6. Step 6: Final answer
    x = 240,690.10

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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.