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Finding the Fourth Proportional to 419,457.30, 578,878.32 and 249,668.34

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Solution

The fourth proportional to 419,457.30, 578,878.32 and 249,668.34 is: 344,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,457.30 : 578,878.32 = 249,668.34 : x
  2. Step 2: Convert to fraction form
    419,457.30/578,878.32 = 249,668.34/x
  3. Step 3: Cross multiply
    419,457.30x = 578,878.32 × 249,668.34
  4. Step 4: Simplify right side
    419,457.30x = 144,527,589,216.39
  5. Step 5: Solve for x
    x = 144,527,589,216.39/419,457.30
  6. Step 6: Final answer
    x = 344,558.53

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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.