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Finding the Fourth Proportional to 458,784.84, 688,184.19 and 159,274.94

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Solution

The fourth proportional to 458,784.84, 688,184.19 and 159,274.94 is: 238,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,784.84 : 688,184.19 = 159,274.94 : x
  2. Step 2: Convert to fraction form
    458,784.84/688,184.19 = 159,274.94/x
  3. Step 3: Cross multiply
    458,784.84x = 688,184.19 × 159,274.94
  4. Step 4: Simplify right side
    458,784.84x = 109,610,492,130.28
  5. Step 5: Solve for x
    x = 109,610,492,130.28/458,784.84
  6. Step 6: Final answer
    x = 238,914.81

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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.