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Finding the Fourth Proportional to 346,564.40, 519,457.80 and 178,019.60

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Solution

The fourth proportional to 346,564.40, 519,457.80 and 178,019.60 is: 266,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,564.40 : 519,457.80 = 178,019.60 : x
  2. Step 2: Convert to fraction form
    346,564.40/519,457.80 = 178,019.60/x
  3. Step 3: Cross multiply
    346,564.40x = 519,457.80 × 178,019.60
  4. Step 4: Simplify right side
    346,564.40x = 92,473,669,772.88
  5. Step 5: Solve for x
    x = 92,473,669,772.88/346,564.40
  6. Step 6: Final answer
    x = 266,829.69

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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.