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Finding the Fourth Proportional to 595,094.35, 821,790.69 and 414,300.63

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Solution

The fourth proportional to 595,094.35, 821,790.69 and 414,300.63 is: 572,125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,094.35 : 821,790.69 = 414,300.63 : x
  2. Step 2: Convert to fraction form
    595,094.35/821,790.69 = 414,300.63/x
  3. Step 3: Cross multiply
    595,094.35x = 821,790.69 × 414,300.63
  4. Step 4: Simplify right side
    595,094.35x = 340,468,401,622.37
  5. Step 5: Solve for x
    x = 340,468,401,622.37/595,094.35
  6. Step 6: Final answer
    x = 572,125.08

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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.