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Finding the Fourth Proportional to 419,313.89, 578,501.22 and 237,920.77

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Solution

The fourth proportional to 419,313.89, 578,501.22 and 237,920.77 is: 328,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,313.89 : 578,501.22 = 237,920.77 : x
  2. Step 2: Convert to fraction form
    419,313.89/578,501.22 = 237,920.77/x
  3. Step 3: Cross multiply
    419,313.89x = 578,501.22 × 237,920.77
  4. Step 4: Simplify right side
    419,313.89x = 137,637,453,689.18
  5. Step 5: Solve for x
    x = 137,637,453,689.18/419,313.89
  6. Step 6: Final answer
    x = 328,244.44

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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.