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Finding the Fourth Proportional to 531,970, 734,118.60 and 293,506

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Solution

The fourth proportional to 531,970, 734,118.60 and 293,506 is: 405,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,970 : 734,118.60 = 293,506 : x
  2. Step 2: Convert to fraction form
    531,970/734,118.60 = 293,506/x
  3. Step 3: Cross multiply
    531,970x = 734,118.60 × 293,506
  4. Step 4: Simplify right side
    531,970x = 215,468,213,811.60
  5. Step 5: Solve for x
    x = 215,468,213,811.60/531,970
  6. Step 6: Final answer
    x = 405,038.28

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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.