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Finding the Fourth Proportional to 301,709.32, 416,312.62 and 174,360.34

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Solution

The fourth proportional to 301,709.32, 416,312.62 and 174,360.34 is: 240,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,709.32 : 416,312.62 = 174,360.34 : x
  2. Step 2: Convert to fraction form
    301,709.32/416,312.62 = 174,360.34/x
  3. Step 3: Cross multiply
    301,709.32x = 416,312.62 × 174,360.34
  4. Step 4: Simplify right side
    301,709.32x = 72,588,407,016.13
  5. Step 5: Solve for x
    x = 72,588,407,016.13/301,709.32
  6. Step 6: Final answer
    x = 240,590.54

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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.