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Finding the Fourth Proportional to 290,597.63, 435,966.30 and 101,030.29

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Solution

The fourth proportional to 290,597.63, 435,966.30 and 101,030.29 is: 151,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,597.63 : 435,966.30 = 101,030.29 : x
  2. Step 2: Convert to fraction form
    290,597.63/435,966.30 = 101,030.29/x
  3. Step 3: Cross multiply
    290,597.63x = 435,966.30 × 101,030.29
  4. Step 4: Simplify right side
    290,597.63x = 44,045,800,629.31
  5. Step 5: Solve for x
    x = 44,045,800,629.31/290,597.63
  6. Step 6: Final answer
    x = 151,569.72

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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.