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Finding the Fourth Proportional to 290,032.52, 433,265.81 and 209,381.40

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Solution

The fourth proportional to 290,032.52, 433,265.81 and 209,381.40 is: 312,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,032.52 : 433,265.81 = 209,381.40 : x
  2. Step 2: Convert to fraction form
    290,032.52/433,265.81 = 209,381.40/x
  3. Step 3: Cross multiply
    290,032.52x = 433,265.81 × 209,381.40
  4. Step 4: Simplify right side
    290,032.52x = 90,717,800,823.03
  5. Step 5: Solve for x
    x = 90,717,800,823.03/290,032.52
  6. Step 6: Final answer
    x = 312,784.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.