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Finding the Fourth Proportional to 405,970.02, 560,247.57 and 262,978.70

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Solution

The fourth proportional to 405,970.02, 560,247.57 and 262,978.70 is: 362,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,970.02 : 560,247.57 = 262,978.70 : x
  2. Step 2: Convert to fraction form
    405,970.02/560,247.57 = 262,978.70/x
  3. Step 3: Cross multiply
    405,970.02x = 560,247.57 × 262,978.70
  4. Step 4: Simplify right side
    405,970.02x = 147,333,174,835.52
  5. Step 5: Solve for x
    x = 147,333,174,835.52/405,970.02
  6. Step 6: Final answer
    x = 362,916.39

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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.