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Finding the Fourth Proportional to 470,384.70, 705,285.45 and 270,606.30

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Solution

The fourth proportional to 470,384.70, 705,285.45 and 270,606.30 is: 405,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,384.70 : 705,285.45 = 270,606.30 : x
  2. Step 2: Convert to fraction form
    470,384.70/705,285.45 = 270,606.30/x
  3. Step 3: Cross multiply
    470,384.70x = 705,285.45 × 270,606.30
  4. Step 4: Simplify right side
    470,384.70x = 190,854,686,068.34
  5. Step 5: Solve for x
    x = 190,854,686,068.34/470,384.70
  6. Step 6: Final answer
    x = 405,741.70

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1.5x scale

Why These Related Problems?

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