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Finding the Fourth Proportional to 274,973.40, 411,968.02 and 235,607.40

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Solution

The fourth proportional to 274,973.40, 411,968.02 and 235,607.40 is: 352,989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,973.40 : 411,968.02 = 235,607.40 : x
  2. Step 2: Convert to fraction form
    274,973.40/411,968.02 = 235,607.40/x
  3. Step 3: Cross multiply
    274,973.40x = 411,968.02 × 235,607.40
  4. Step 4: Simplify right side
    274,973.40x = 97,062,714,075.35
  5. Step 5: Solve for x
    x = 97,062,714,075.35/274,973.40
  6. Step 6: Final answer
    x = 352,989.47

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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.