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Finding the Fourth Proportional to 307,533.40, 461,364.90 and 97,192.60

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Solution

The fourth proportional to 307,533.40, 461,364.90 and 97,192.60 is: 145,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,533.40 : 461,364.90 = 97,192.60 : x
  2. Step 2: Convert to fraction form
    307,533.40/461,364.90 = 97,192.60/x
  3. Step 3: Cross multiply
    307,533.40x = 461,364.90 × 97,192.60
  4. Step 4: Simplify right side
    307,533.40x = 44,841,254,179.74
  5. Step 5: Solve for x
    x = 44,841,254,179.74/307,533.40
  6. Step 6: Final answer
    x = 145,809.38

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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.