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Finding the Fourth Proportional to 517,185.12, 713,261.14 and 362,056.93

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Solution

The fourth proportional to 517,185.12, 713,261.14 and 362,056.93 is: 499,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,185.12 : 713,261.14 = 362,056.93 : x
  2. Step 2: Convert to fraction form
    517,185.12/713,261.14 = 362,056.93/x
  3. Step 3: Cross multiply
    517,185.12x = 713,261.14 × 362,056.93
  4. Step 4: Simplify right side
    517,185.12x = 258,241,138,636.70
  5. Step 5: Solve for x
    x = 258,241,138,636.70/517,185.12
  6. Step 6: Final answer
    x = 499,320.51

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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.