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Finding the Fourth Proportional to 570,594.50, 787,410.79 and 315,940.22

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Solution

The fourth proportional to 570,594.50, 787,410.79 and 315,940.22 is: 435,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,594.50 : 787,410.79 = 315,940.22 : x
  2. Step 2: Convert to fraction form
    570,594.50/787,410.79 = 315,940.22/x
  3. Step 3: Cross multiply
    570,594.50x = 787,410.79 × 315,940.22
  4. Step 4: Simplify right side
    570,594.50x = 248,774,736,643.27
  5. Step 5: Solve for x
    x = 248,774,736,643.27/570,594.50
  6. Step 6: Final answer
    x = 435,992.17

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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.