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Finding the Fourth Proportional to 405,894.57, 560,193.93 and 233,779.46

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Solution

The fourth proportional to 405,894.57, 560,193.93 and 233,779.46 is: 322,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,894.57 : 560,193.93 = 233,779.46 : x
  2. Step 2: Convert to fraction form
    405,894.57/560,193.93 = 233,779.46/x
  3. Step 3: Cross multiply
    405,894.57x = 560,193.93 × 233,779.46
  4. Step 4: Simplify right side
    405,894.57x = 130,961,831,649.71
  5. Step 5: Solve for x
    x = 130,961,831,649.71/405,894.57
  6. Step 6: Final answer
    x = 322,649.87

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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.