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Finding the Fourth Proportional to 470,916.42, 706,374.63 and 138,492.42

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Solution

The fourth proportional to 470,916.42, 706,374.63 and 138,492.42 is: 207,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,916.42 : 706,374.63 = 138,492.42 : x
  2. Step 2: Convert to fraction form
    470,916.42/706,374.63 = 138,492.42/x
  3. Step 3: Cross multiply
    470,916.42x = 706,374.63 × 138,492.42
  4. Step 4: Simplify right side
    470,916.42x = 97,827,531,935.30
  5. Step 5: Solve for x
    x = 97,827,531,935.30/470,916.42
  6. Step 6: Final answer
    x = 207,738.63

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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.