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Finding the Fourth Proportional to 523,184, 784,783.38 and 149,207

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Solution

The fourth proportional to 523,184, 784,783.38 and 149,207 is: 223,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,184 : 784,783.38 = 149,207 : x
  2. Step 2: Convert to fraction form
    523,184/784,783.38 = 149,207/x
  3. Step 3: Cross multiply
    523,184x = 784,783.38 × 149,207
  4. Step 4: Simplify right side
    523,184x = 117,095,173,779.66
  5. Step 5: Solve for x
    x = 117,095,173,779.66/523,184
  6. Step 6: Final answer
    x = 223,812.60

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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.