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Finding the Fourth Proportional to 708,777, 1,063,165.50 and 183,465

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Solution

The fourth proportional to 708,777, 1,063,165.50 and 183,465 is: 275,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,777 : 1,063,165.50 = 183,465 : x
  2. Step 2: Convert to fraction form
    708,777/1,063,165.50 = 183,465/x
  3. Step 3: Cross multiply
    708,777x = 1,063,165.50 × 183,465
  4. Step 4: Simplify right side
    708,777x = 195,053,658,457.50
  5. Step 5: Solve for x
    x = 195,053,658,457.50/708,777
  6. Step 6: Final answer
    x = 275,197.50

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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.