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Finding the Fourth Proportional to 472,190, 651,622.20 and 260,222

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Solution

The fourth proportional to 472,190, 651,622.20 and 260,222 is: 359,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,190 : 651,622.20 = 260,222 : x
  2. Step 2: Convert to fraction form
    472,190/651,622.20 = 260,222/x
  3. Step 3: Cross multiply
    472,190x = 651,622.20 × 260,222
  4. Step 4: Simplify right side
    472,190x = 169,566,432,128.40
  5. Step 5: Solve for x
    x = 169,566,432,128.40/472,190
  6. Step 6: Final answer
    x = 359,106.36

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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.