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Finding the Fourth Proportional to 610,465.60, 915,784.80 and 189,697.60

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Solution

The fourth proportional to 610,465.60, 915,784.80 and 189,697.60 is: 284,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,465.60 : 915,784.80 = 189,697.60 : x
  2. Step 2: Convert to fraction form
    610,465.60/915,784.80 = 189,697.60/x
  3. Step 3: Cross multiply
    610,465.60x = 915,784.80 × 189,697.60
  4. Step 4: Simplify right side
    610,465.60x = 173,722,178,676.48
  5. Step 5: Solve for x
    x = 173,722,178,676.48/610,465.60
  6. Step 6: Final answer
    x = 284,573.25

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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.