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Finding the Fourth Proportional to 473,035.86, 709,055.47 and 235,880.31

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Solution

The fourth proportional to 473,035.86, 709,055.47 and 235,880.31 is: 353,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,035.86 : 709,055.47 = 235,880.31 : x
  2. Step 2: Convert to fraction form
    473,035.86/709,055.47 = 235,880.31/x
  3. Step 3: Cross multiply
    473,035.86x = 709,055.47 × 235,880.31
  4. Step 4: Simplify right side
    473,035.86x = 167,252,223,534.73
  5. Step 5: Solve for x
    x = 167,252,223,534.73/473,035.86
  6. Step 6: Final answer
    x = 353,571.98

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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.