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Finding the Fourth Proportional to 307,907.40, 461,423.70 and 214,303.80

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Solution

The fourth proportional to 307,907.40, 461,423.70 and 214,303.80 is: 321,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,907.40 : 461,423.70 = 214,303.80 : x
  2. Step 2: Convert to fraction form
    307,907.40/461,423.70 = 214,303.80/x
  3. Step 3: Cross multiply
    307,907.40x = 461,423.70 × 214,303.80
  4. Step 4: Simplify right side
    307,907.40x = 98,884,852,320.06
  5. Step 5: Solve for x
    x = 98,884,852,320.06/307,907.40
  6. Step 6: Final answer
    x = 321,151.27

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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.