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Finding the Fourth Proportional to 282,913, 390,419.94 and 155,596.84

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Solution

The fourth proportional to 282,913, 390,419.94 and 155,596.84 is: 214,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,913 : 390,419.94 = 155,596.84 : x
  2. Step 2: Convert to fraction form
    282,913/390,419.94 = 155,596.84/x
  3. Step 3: Cross multiply
    282,913x = 390,419.94 × 155,596.84
  4. Step 4: Simplify right side
    282,913x = 60,748,108,936.99
  5. Step 5: Solve for x
    x = 60,748,108,936.99/282,913
  6. Step 6: Final answer
    x = 214,723.64

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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.