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Finding the Fourth Proportional to 369,059.96, 509,304.30 and 207,916.94

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Solution

The fourth proportional to 369,059.96, 509,304.30 and 207,916.94 is: 286,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,059.96 : 509,304.30 = 207,916.94 : x
  2. Step 2: Convert to fraction form
    369,059.96/509,304.30 = 207,916.94/x
  3. Step 3: Cross multiply
    369,059.96x = 509,304.30 × 207,916.94
  4. Step 4: Simplify right side
    369,059.96x = 105,892,991,584.84
  5. Step 5: Solve for x
    x = 105,892,991,584.84/369,059.96
  6. Step 6: Final answer
    x = 286,926.25

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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.