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Finding the Fourth Proportional to 323,421.20, 484,210.20 and 314,205.20

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Solution

The fourth proportional to 323,421.20, 484,210.20 and 314,205.20 is: 470,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,421.20 : 484,210.20 = 314,205.20 : x
  2. Step 2: Convert to fraction form
    323,421.20/484,210.20 = 314,205.20/x
  3. Step 3: Cross multiply
    323,421.20x = 484,210.20 × 314,205.20
  4. Step 4: Simplify right side
    323,421.20x = 152,141,362,733.04
  5. Step 5: Solve for x
    x = 152,141,362,733.04/323,421.20
  6. Step 6: Final answer
    x = 470,412.46

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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.