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Finding the Fourth Proportional to 301,493.64, 416,030.40 and 174,210.24

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Solution

The fourth proportional to 301,493.64, 416,030.40 and 174,210.24 is: 240,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,493.64 : 416,030.40 = 174,210.24 : x
  2. Step 2: Convert to fraction form
    301,493.64/416,030.40 = 174,210.24/x
  3. Step 3: Cross multiply
    301,493.64x = 416,030.40 × 174,210.24
  4. Step 4: Simplify right side
    301,493.64x = 72,476,755,831.30
  5. Step 5: Solve for x
    x = 72,476,755,831.30/301,493.64
  6. Step 6: Final answer
    x = 240,392.32

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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.