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Finding the Fourth Proportional to 346,551.80, 519,827.70 and 189,087.80

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Solution

The fourth proportional to 346,551.80, 519,827.70 and 189,087.80 is: 283,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,551.80 : 519,827.70 = 189,087.80 : x
  2. Step 2: Convert to fraction form
    346,551.80/519,827.70 = 189,087.80/x
  3. Step 3: Cross multiply
    346,551.80x = 519,827.70 × 189,087.80
  4. Step 4: Simplify right side
    346,551.80x = 98,293,076,172.06
  5. Step 5: Solve for x
    x = 98,293,076,172.06/346,551.80
  6. Step 6: Final answer
    x = 283,631.70

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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.