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Finding the Fourth Proportional to 590,994, 886,491 and 147,762

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Solution

The fourth proportional to 590,994, 886,491 and 147,762 is: 221,643

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,994 : 886,491 = 147,762 : x
  2. Step 2: Convert to fraction form
    590,994/886,491 = 147,762/x
  3. Step 3: Cross multiply
    590,994x = 886,491 × 147,762
  4. Step 4: Simplify right side
    590,994x = 130,989,683,142
  5. Step 5: Solve for x
    x = 130,989,683,142/590,994
  6. Step 6: Final answer
    x = 221,643

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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.