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Finding the Fourth Proportional to 405,503.40, 559,584.72 and 224,210.52

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Solution

The fourth proportional to 405,503.40, 559,584.72 and 224,210.52 is: 309,405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,503.40 : 559,584.72 = 224,210.52 : x
  2. Step 2: Convert to fraction form
    405,503.40/559,584.72 = 224,210.52/x
  3. Step 3: Cross multiply
    405,503.40x = 559,584.72 × 224,210.52
  4. Step 4: Simplify right side
    405,503.40x = 125,464,781,055.25
  5. Step 5: Solve for x
    x = 125,464,781,055.25/405,503.40
  6. Step 6: Final answer
    x = 309,405.00

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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.