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Finding the Fourth Proportional to 334,501.44, 461,828.16 and 207,312

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Solution

The fourth proportional to 334,501.44, 461,828.16 and 207,312 is: 286,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,501.44 : 461,828.16 = 207,312 : x
  2. Step 2: Convert to fraction form
    334,501.44/461,828.16 = 207,312/x
  3. Step 3: Cross multiply
    334,501.44x = 461,828.16 × 207,312
  4. Step 4: Simplify right side
    334,501.44x = 95,742,519,505.92
  5. Step 5: Solve for x
    x = 95,742,519,505.92/334,501.44
  6. Step 6: Final answer
    x = 286,224.54

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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.