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Finding the Fourth Proportional to 310,774.23, 466,164.05 and 100,412.19

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Solution

The fourth proportional to 310,774.23, 466,164.05 and 100,412.19 is: 150,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,774.23 : 466,164.05 = 100,412.19 : x
  2. Step 2: Convert to fraction form
    310,774.23/466,164.05 = 100,412.19/x
  3. Step 3: Cross multiply
    310,774.23x = 466,164.05 × 100,412.19
  4. Step 4: Simplify right side
    310,774.23x = 46,808,552,657.71
  5. Step 5: Solve for x
    x = 46,808,552,657.71/310,774.23
  6. Step 6: Final answer
    x = 150,619.16

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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.