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Finding the Fourth Proportional to 291,038.40, 401,656.32 and 163,706.40

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Solution

The fourth proportional to 291,038.40, 401,656.32 and 163,706.40 is: 225,927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,038.40 : 401,656.32 = 163,706.40 : x
  2. Step 2: Convert to fraction form
    291,038.40/401,656.32 = 163,706.40/x
  3. Step 3: Cross multiply
    291,038.40x = 401,656.32 × 163,706.40
  4. Step 4: Simplify right side
    291,038.40x = 65,753,710,184.45
  5. Step 5: Solve for x
    x = 65,753,710,184.45/291,038.40
  6. Step 6: Final answer
    x = 225,927.95

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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.