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Finding the Fourth Proportional to 340,070.76, 509,875.56 and 190,414.08

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Solution

The fourth proportional to 340,070.76, 509,875.56 and 190,414.08 is: 285,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,070.76 : 509,875.56 = 190,414.08 : x
  2. Step 2: Convert to fraction form
    340,070.76/509,875.56 = 190,414.08/x
  3. Step 3: Cross multiply
    340,070.76x = 509,875.56 × 190,414.08
  4. Step 4: Simplify right side
    340,070.76x = 97,087,485,671.88
  5. Step 5: Solve for x
    x = 97,087,485,671.88/340,070.76
  6. Step 6: Final answer
    x = 285,492.01

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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.