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Finding the Fourth Proportional to 596,807, 895,345.84 and 197,447.12

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Solution

The fourth proportional to 596,807, 895,345.84 and 197,447.12 is: 296,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,807 : 895,345.84 = 197,447.12 : x
  2. Step 2: Convert to fraction form
    596,807/895,345.84 = 197,447.12/x
  3. Step 3: Cross multiply
    596,807x = 895,345.84 × 197,447.12
  4. Step 4: Simplify right side
    596,807x = 176,783,457,511.98
  5. Step 5: Solve for x
    x = 176,783,457,511.98/596,807
  6. Step 6: Final answer
    x = 296,215.46

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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.