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Finding the Fourth Proportional to 420,416.58, 630,877.06 and 154,204.00

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Solution

The fourth proportional to 420,416.58, 630,877.06 and 154,204.00 is: 231,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,416.58 : 630,877.06 = 154,204.00 : x
  2. Step 2: Convert to fraction form
    420,416.58/630,877.06 = 154,204.00/x
  3. Step 3: Cross multiply
    420,416.58x = 630,877.06 × 154,204.00
  4. Step 4: Simplify right side
    420,416.58x = 97,283,767,457.09
  5. Step 5: Solve for x
    x = 97,283,767,457.09/420,416.58
  6. Step 6: Final answer
    x = 231,398.50

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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.