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Finding the Fourth Proportional to 314,281.12, 433,699.64 and 171,038.12

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Solution

The fourth proportional to 314,281.12, 433,699.64 and 171,038.12 is: 236,028.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,281.12 : 433,699.64 = 171,038.12 : x
  2. Step 2: Convert to fraction form
    314,281.12/433,699.64 = 171,038.12/x
  3. Step 3: Cross multiply
    314,281.12x = 433,699.64 × 171,038.12
  4. Step 4: Simplify right side
    314,281.12x = 74,179,171,070.28
  5. Step 5: Solve for x
    x = 74,179,171,070.28/314,281.12
  6. Step 6: Final answer
    x = 236,028.09

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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.