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Finding the Fourth Proportional to 307,666.35, 461,477.63 and 83,039.58

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Solution

The fourth proportional to 307,666.35, 461,477.63 and 83,039.58 is: 124,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,666.35 : 461,477.63 = 83,039.58 : x
  2. Step 2: Convert to fraction form
    307,666.35/461,477.63 = 83,039.58/x
  3. Step 3: Cross multiply
    307,666.35x = 461,477.63 × 83,039.58
  4. Step 4: Simplify right side
    307,666.35x = 38,320,908,159.40
  5. Step 5: Solve for x
    x = 38,320,908,159.40/307,666.35
  6. Step 6: Final answer
    x = 124,553.46

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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.