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Finding the Fourth Proportional to 529,193.68, 730,298.64 and 299,752

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Solution

The fourth proportional to 529,193.68, 730,298.64 and 299,752 is: 413,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,193.68 : 730,298.64 = 299,752 : x
  2. Step 2: Convert to fraction form
    529,193.68/730,298.64 = 299,752/x
  3. Step 3: Cross multiply
    529,193.68x = 730,298.64 × 299,752
  4. Step 4: Simplify right side
    529,193.68x = 218,908,477,937.28
  5. Step 5: Solve for x
    x = 218,908,477,937.28/529,193.68
  6. Step 6: Final answer
    x = 413,664.20

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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.