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Finding the Fourth Proportional to 365,056.13, 546,252 and 215,368.13

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Solution

The fourth proportional to 365,056.13, 546,252 and 215,368.13 is: 322,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,056.13 : 546,252 = 215,368.13 : x
  2. Step 2: Convert to fraction form
    365,056.13/546,252 = 215,368.13/x
  3. Step 3: Cross multiply
    365,056.13x = 546,252 × 215,368.13
  4. Step 4: Simplify right side
    365,056.13x = 117,645,271,748.76
  5. Step 5: Solve for x
    x = 117,645,271,748.76/365,056.13
  6. Step 6: Final answer
    x = 322,266.25

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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.