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Finding the Fourth Proportional to 403,457.60, 604,967.70 and 166,532.60

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Solution

The fourth proportional to 403,457.60, 604,967.70 and 166,532.60 is: 249,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,457.60 : 604,967.70 = 166,532.60 : x
  2. Step 2: Convert to fraction form
    403,457.60/604,967.70 = 166,532.60/x
  3. Step 3: Cross multiply
    403,457.60x = 604,967.70 × 166,532.60
  4. Step 4: Simplify right side
    403,457.60x = 100,746,843,997.02
  5. Step 5: Solve for x
    x = 100,746,843,997.02/403,457.60
  6. Step 6: Final answer
    x = 249,708.63

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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.