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Finding the Fourth Proportional to 314,070.40, 433,424.28 and 170,838.10

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Solution

The fourth proportional to 314,070.40, 433,424.28 and 170,838.10 is: 235,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,070.40 : 433,424.28 = 170,838.10 : x
  2. Step 2: Convert to fraction form
    314,070.40/433,424.28 = 170,838.10/x
  3. Step 3: Cross multiply
    314,070.40x = 433,424.28 × 170,838.10
  4. Step 4: Simplify right side
    314,070.40x = 74,045,380,489.07
  5. Step 5: Solve for x
    x = 74,045,380,489.07/314,070.40
  6. Step 6: Final answer
    x = 235,760.46

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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.