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Finding the Fourth Proportional to 602,120.52, 830,919.47 and 347,466.24

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Solution

The fourth proportional to 602,120.52, 830,919.47 and 347,466.24 is: 479,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,120.52 : 830,919.47 = 347,466.24 : x
  2. Step 2: Convert to fraction form
    602,120.52/830,919.47 = 347,466.24/x
  3. Step 3: Cross multiply
    602,120.52x = 830,919.47 × 347,466.24
  4. Step 4: Simplify right side
    602,120.52x = 288,716,462,246.36
  5. Step 5: Solve for x
    x = 288,716,462,246.36/602,120.52
  6. Step 6: Final answer
    x = 479,499.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.