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Finding the Fourth Proportional to 282,051.09, 422,678.86 and 155,748.19

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Solution

The fourth proportional to 282,051.09, 422,678.86 and 155,748.19 is: 233,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,051.09 : 422,678.86 = 155,748.19 : x
  2. Step 2: Convert to fraction form
    282,051.09/422,678.86 = 155,748.19/x
  3. Step 3: Cross multiply
    282,051.09x = 422,678.86 × 155,748.19
  4. Step 4: Simplify right side
    282,051.09x = 65,831,467,931.50
  5. Step 5: Solve for x
    x = 65,831,467,931.50/282,051.09
  6. Step 6: Final answer
    x = 233,402.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.