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Finding the Fourth Proportional to 601,594.14, 830,199.93 and 333,322.14

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Solution

The fourth proportional to 601,594.14, 830,199.93 and 333,322.14 is: 459,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,594.14 : 830,199.93 = 333,322.14 : x
  2. Step 2: Convert to fraction form
    601,594.14/830,199.93 = 333,322.14/x
  3. Step 3: Cross multiply
    601,594.14x = 830,199.93 × 333,322.14
  4. Step 4: Simplify right side
    601,594.14x = 276,724,017,295.45
  5. Step 5: Solve for x
    x = 276,724,017,295.45/601,594.14
  6. Step 6: Final answer
    x = 459,984.56

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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.