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Finding the Fourth Proportional to 340,598.70, 511,128.45 and 190,838.70

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Solution

The fourth proportional to 340,598.70, 511,128.45 and 190,838.70 is: 286,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,598.70 : 511,128.45 = 190,838.70 : x
  2. Step 2: Convert to fraction form
    340,598.70/511,128.45 = 190,838.70/x
  3. Step 3: Cross multiply
    340,598.70x = 511,128.45 × 190,838.70
  4. Step 4: Simplify right side
    340,598.70x = 97,543,088,931.02
  5. Step 5: Solve for x
    x = 97,543,088,931.02/340,598.70
  6. Step 6: Final answer
    x = 286,387.14

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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.