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Finding the Fourth Proportional to 572,973.16, 859,460.70 and 198,733

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Solution

The fourth proportional to 572,973.16, 859,460.70 and 198,733 is: 298,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,973.16 : 859,460.70 = 198,733 : x
  2. Step 2: Convert to fraction form
    572,973.16/859,460.70 = 198,733/x
  3. Step 3: Cross multiply
    572,973.16x = 859,460.70 × 198,733
  4. Step 4: Simplify right side
    572,973.16x = 170,803,203,293.10
  5. Step 5: Solve for x
    x = 170,803,203,293.10/572,973.16
  6. Step 6: Final answer
    x = 298,099.83

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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.