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Finding the Fourth Proportional to 315,774.36, 473,665.68 and 105,412.14

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Solution

The fourth proportional to 315,774.36, 473,665.68 and 105,412.14 is: 158,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,774.36 : 473,665.68 = 105,412.14 : x
  2. Step 2: Convert to fraction form
    315,774.36/473,665.68 = 105,412.14/x
  3. Step 3: Cross multiply
    315,774.36x = 473,665.68 × 105,412.14
  4. Step 4: Simplify right side
    315,774.36x = 49,930,112,973.36
  5. Step 5: Solve for x
    x = 49,930,112,973.36/315,774.36
  6. Step 6: Final answer
    x = 158,119.59

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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.