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Finding the Fourth Proportional to 405,482.34, 559,541.68 and 224,180.04

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Solution

The fourth proportional to 405,482.34, 559,541.68 and 224,180.04 is: 309,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,482.34 : 559,541.68 = 224,180.04 : x
  2. Step 2: Convert to fraction form
    405,482.34/559,541.68 = 224,180.04/x
  3. Step 3: Cross multiply
    405,482.34x = 559,541.68 × 224,180.04
  4. Step 4: Simplify right side
    405,482.34x = 125,438,076,204.07
  5. Step 5: Solve for x
    x = 125,438,076,204.07/405,482.34
  6. Step 6: Final answer
    x = 309,355.21

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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.