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Finding the Fourth Proportional to 406,119, 560,366.46 and 262,859.16

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Solution

The fourth proportional to 406,119, 560,366.46 and 262,859.16 is: 362,695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,119 : 560,366.46 = 262,859.16 : x
  2. Step 2: Convert to fraction form
    406,119/560,366.46 = 262,859.16/x
  3. Step 3: Cross multiply
    406,119x = 560,366.46 × 262,859.16
  4. Step 4: Simplify right side
    406,119x = 147,297,456,967.77
  5. Step 5: Solve for x
    x = 147,297,456,967.77/406,119
  6. Step 6: Final answer
    x = 362,695.31

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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.