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Finding the Fourth Proportional to 306,784.42, 460,208.06 and 117,404.07

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Solution

The fourth proportional to 306,784.42, 460,208.06 and 117,404.07 is: 176,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,784.42 : 460,208.06 = 117,404.07 : x
  2. Step 2: Convert to fraction form
    306,784.42/460,208.06 = 117,404.07/x
  3. Step 3: Cross multiply
    306,784.42x = 460,208.06 × 117,404.07
  4. Step 4: Simplify right side
    306,784.42x = 54,030,296,402.74
  5. Step 5: Solve for x
    x = 54,030,296,402.74/306,784.42
  6. Step 6: Final answer
    x = 176,118.12

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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.