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Finding the Fourth Proportional to 290,093.04, 435,312.12 and 156,970.64

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Solution

The fourth proportional to 290,093.04, 435,312.12 and 156,970.64 is: 235,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,093.04 : 435,312.12 = 156,970.64 : x
  2. Step 2: Convert to fraction form
    290,093.04/435,312.12 = 156,970.64/x
  3. Step 3: Cross multiply
    290,093.04x = 435,312.12 × 156,970.64
  4. Step 4: Simplify right side
    290,093.04x = 68,331,222,076.16
  5. Step 5: Solve for x
    x = 68,331,222,076.16/290,093.04
  6. Step 6: Final answer
    x = 235,549.33

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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.