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Finding the Fourth Proportional to 357,629.68, 493,124.96 and 260,662.24

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Solution

The fourth proportional to 357,629.68, 493,124.96 and 260,662.24 is: 359,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,629.68 : 493,124.96 = 260,662.24 : x
  2. Step 2: Convert to fraction form
    357,629.68/493,124.96 = 260,662.24/x
  3. Step 3: Cross multiply
    357,629.68x = 493,124.96 × 260,662.24
  4. Step 4: Simplify right side
    357,629.68x = 128,539,056,673.51
  5. Step 5: Solve for x
    x = 128,539,056,673.51/357,629.68
  6. Step 6: Final answer
    x = 359,419.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.