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Finding the Fourth Proportional to 463,948, 695,922 and 113,740

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Solution

The fourth proportional to 463,948, 695,922 and 113,740 is: 170,610

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,948 : 695,922 = 113,740 : x
  2. Step 2: Convert to fraction form
    463,948/695,922 = 113,740/x
  3. Step 3: Cross multiply
    463,948x = 695,922 × 113,740
  4. Step 4: Simplify right side
    463,948x = 79,154,168,280
  5. Step 5: Solve for x
    x = 79,154,168,280/463,948
  6. Step 6: Final answer
    x = 170,610

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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.