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Finding the Fourth Proportional to 301,709.19, 416,312.45 and 174,360.21

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Solution

The fourth proportional to 301,709.19, 416,312.45 and 174,360.21 is: 240,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,709.19 : 416,312.45 = 174,360.21 : x
  2. Step 2: Convert to fraction form
    301,709.19/416,312.45 = 174,360.21/x
  3. Step 3: Cross multiply
    301,709.19x = 416,312.45 × 174,360.21
  4. Step 4: Simplify right side
    301,709.19x = 72,588,325,335.81
  5. Step 5: Solve for x
    x = 72,588,325,335.81/301,709.19
  6. Step 6: Final answer
    x = 240,590.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.