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Finding the Fourth Proportional to 364,427.16, 546,848.34 and 291,021.72

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Solution

The fourth proportional to 364,427.16, 546,848.34 and 291,021.72 is: 436,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,427.16 : 546,848.34 = 291,021.72 : x
  2. Step 2: Convert to fraction form
    364,427.16/546,848.34 = 291,021.72/x
  3. Step 3: Cross multiply
    364,427.16x = 546,848.34 × 291,021.72
  4. Step 4: Simplify right side
    364,427.16x = 159,144,744,485.95
  5. Step 5: Solve for x
    x = 159,144,744,485.95/364,427.16
  6. Step 6: Final answer
    x = 436,698.36

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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.