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Finding the Fourth Proportional to 340,109.70, 510,164.55 and 153,485.70

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Solution

The fourth proportional to 340,109.70, 510,164.55 and 153,485.70 is: 230,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,109.70 : 510,164.55 = 153,485.70 : x
  2. Step 2: Convert to fraction form
    340,109.70/510,164.55 = 153,485.70/x
  3. Step 3: Cross multiply
    340,109.70x = 510,164.55 × 153,485.70
  4. Step 4: Simplify right side
    340,109.70x = 78,302,963,071.94
  5. Step 5: Solve for x
    x = 78,302,963,071.94/340,109.70
  6. Step 6: Final answer
    x = 230,228.55

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1.5x scale

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.