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Finding the Fourth Proportional to 417,546, 626,423.04 and 122,058

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Solution

The fourth proportional to 417,546, 626,423.04 and 122,058 is: 183,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,546 : 626,423.04 = 122,058 : x
  2. Step 2: Convert to fraction form
    417,546/626,423.04 = 122,058/x
  3. Step 3: Cross multiply
    417,546x = 626,423.04 × 122,058
  4. Step 4: Simplify right side
    417,546x = 76,459,943,416.32
  5. Step 5: Solve for x
    x = 76,459,943,416.32/417,546
  6. Step 6: Final answer
    x = 183,117.41

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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.