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Finding the Fourth Proportional to 340,020.40, 510,030.60 and 302,695.60

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Solution

The fourth proportional to 340,020.40, 510,030.60 and 302,695.60 is: 454,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,020.40 : 510,030.60 = 302,695.60 : x
  2. Step 2: Convert to fraction form
    340,020.40/510,030.60 = 302,695.60/x
  3. Step 3: Cross multiply
    340,020.40x = 510,030.60 × 302,695.60
  4. Step 4: Simplify right side
    340,020.40x = 154,384,018,485.36
  5. Step 5: Solve for x
    x = 154,384,018,485.36/340,020.40
  6. Step 6: Final answer
    x = 454,043.40

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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.