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Finding the Fourth Proportional to 463,953.20, 695,368.20 and 197,153.60

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Solution

The fourth proportional to 463,953.20, 695,368.20 and 197,153.60 is: 295,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,953.20 : 695,368.20 = 197,153.60 : x
  2. Step 2: Convert to fraction form
    463,953.20/695,368.20 = 197,153.60/x
  3. Step 3: Cross multiply
    463,953.20x = 695,368.20 × 197,153.60
  4. Step 4: Simplify right side
    463,953.20x = 137,094,343,955.52
  5. Step 5: Solve for x
    x = 137,094,343,955.52/463,953.20
  6. Step 6: Final answer
    x = 295,491.75

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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.