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Finding the Fourth Proportional to 314,543.84, 434,056.98 and 171,304.24

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Solution

The fourth proportional to 314,543.84, 434,056.98 and 171,304.24 is: 236,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,543.84 : 434,056.98 = 171,304.24 : x
  2. Step 2: Convert to fraction form
    314,543.84/434,056.98 = 171,304.24/x
  3. Step 3: Cross multiply
    314,543.84x = 434,056.98 × 171,304.24
  4. Step 4: Simplify right side
    314,543.84x = 74,355,801,075.60
  5. Step 5: Solve for x
    x = 74,355,801,075.60/314,543.84
  6. Step 6: Final answer
    x = 236,392.49

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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.