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Finding the Fourth Proportional to 314,158.31, 433,533.69 and 170,915.07

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Solution

The fourth proportional to 314,158.31, 433,533.69 and 170,915.07 is: 235,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,158.31 : 433,533.69 = 170,915.07 : x
  2. Step 2: Convert to fraction form
    314,158.31/433,533.69 = 170,915.07/x
  3. Step 3: Cross multiply
    314,158.31x = 433,533.69 × 170,915.07
  4. Step 4: Simplify right side
    314,158.31x = 74,097,440,973.71
  5. Step 5: Solve for x
    x = 74,097,440,973.71/314,158.31
  6. Step 6: Final answer
    x = 235,860.20

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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.