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Finding the Fourth Proportional to 470,966.30, 660,533.80 and 470,966.30

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Solution

The fourth proportional to 470,966.30, 660,533.80 and 470,966.30 is: 660,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,966.30 : 660,533.80 = 470,966.30 : x
  2. Step 2: Convert to fraction form
    470,966.30/660,533.80 = 470,966.30/x
  3. Step 3: Cross multiply
    470,966.30x = 660,533.80 × 470,966.30
  4. Step 4: Simplify right side
    470,966.30x = 311,089,159,810.94
  5. Step 5: Solve for x
    x = 311,089,159,810.94/470,966.30
  6. Step 6: Final answer
    x = 660,533.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.