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Finding the Fourth Proportional to 552,401.60, 828,602.40 and 463,828.10

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Solution

The fourth proportional to 552,401.60, 828,602.40 and 463,828.10 is: 695,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,401.60 : 828,602.40 = 463,828.10 : x
  2. Step 2: Convert to fraction form
    552,401.60/828,602.40 = 463,828.10/x
  3. Step 3: Cross multiply
    552,401.60x = 828,602.40 × 463,828.10
  4. Step 4: Simplify right side
    552,401.60x = 384,329,076,847.44
  5. Step 5: Solve for x
    x = 384,329,076,847.44/552,401.60
  6. Step 6: Final answer
    x = 695,742.15

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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.