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Finding the Fourth Proportional to 313,477.65, 470,153.61 and 153,484.65

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Solution

The fourth proportional to 313,477.65, 470,153.61 and 153,484.65 is: 230,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,477.65 : 470,153.61 = 153,484.65 : x
  2. Step 2: Convert to fraction form
    313,477.65/470,153.61 = 153,484.65/x
  3. Step 3: Cross multiply
    313,477.65x = 470,153.61 × 153,484.65
  4. Step 4: Simplify right side
    313,477.65x = 72,161,362,277.09
  5. Step 5: Solve for x
    x = 72,161,362,277.09/313,477.65
  6. Step 6: Final answer
    x = 230,196.20

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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.