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Finding the Fourth Proportional to 335,394, 502,943.40 and 177,585.60

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Solution

The fourth proportional to 335,394, 502,943.40 and 177,585.60 is: 266,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,394 : 502,943.40 = 177,585.60 : x
  2. Step 2: Convert to fraction form
    335,394/502,943.40 = 177,585.60/x
  3. Step 3: Cross multiply
    335,394x = 502,943.40 × 177,585.60
  4. Step 4: Simplify right side
    335,394x = 89,315,505,455.04
  5. Step 5: Solve for x
    x = 89,315,505,455.04/335,394
  6. Step 6: Final answer
    x = 266,300.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.