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Finding the Fourth Proportional to 585,319.52, 877,376.64 and 230,189.60

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Solution

The fourth proportional to 585,319.52, 877,376.64 and 230,189.60 is: 345,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,319.52 : 877,376.64 = 230,189.60 : x
  2. Step 2: Convert to fraction form
    585,319.52/877,376.64 = 230,189.60/x
  3. Step 3: Cross multiply
    585,319.52x = 877,376.64 × 230,189.60
  4. Step 4: Simplify right side
    585,319.52x = 201,962,977,810.94
  5. Step 5: Solve for x
    x = 201,962,977,810.94/585,319.52
  6. Step 6: Final answer
    x = 345,047.40

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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.