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Finding the Fourth Proportional to 472,168, 651,591.84 and 260,200

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Solution

The fourth proportional to 472,168, 651,591.84 and 260,200 is: 359,076

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,168 : 651,591.84 = 260,200 : x
  2. Step 2: Convert to fraction form
    472,168/651,591.84 = 260,200/x
  3. Step 3: Cross multiply
    472,168x = 651,591.84 × 260,200
  4. Step 4: Simplify right side
    472,168x = 169,544,196,768
  5. Step 5: Solve for x
    x = 169,544,196,768/472,168
  6. Step 6: Final answer
    x = 359,076

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