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Finding the Fourth Proportional to 470,210.94, 705,094.07 and 182,157.50

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Solution

The fourth proportional to 470,210.94, 705,094.07 and 182,157.50 is: 273,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,210.94 : 705,094.07 = 182,157.50 : x
  2. Step 2: Convert to fraction form
    470,210.94/705,094.07 = 182,157.50/x
  3. Step 3: Cross multiply
    470,210.94x = 705,094.07 × 182,157.50
  4. Step 4: Simplify right side
    470,210.94x = 128,438,173,907.97
  5. Step 5: Solve for x
    x = 128,438,173,907.97/470,210.94
  6. Step 6: Final answer
    x = 273,150.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.