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Finding the Fourth Proportional to 470,200.77, 700,346.57 and 460,359.27

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Solution

The fourth proportional to 470,200.77, 700,346.57 and 460,359.27 is: 685,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,200.77 : 700,346.57 = 460,359.27 : x
  2. Step 2: Convert to fraction form
    470,200.77/700,346.57 = 460,359.27/x
  3. Step 3: Cross multiply
    470,200.77x = 700,346.57 × 460,359.27
  4. Step 4: Simplify right side
    470,200.77x = 322,411,033,410.41
  5. Step 5: Solve for x
    x = 322,411,033,410.41/470,200.77
  6. Step 6: Final answer
    x = 685,688.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.