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Finding the Fourth Proportional to 395,457.12, 545,728.32 and 214,166.16

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Solution

The fourth proportional to 395,457.12, 545,728.32 and 214,166.16 is: 295,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,457.12 : 545,728.32 = 214,166.16 : x
  2. Step 2: Convert to fraction form
    395,457.12/545,728.32 = 214,166.16/x
  3. Step 3: Cross multiply
    395,457.12x = 545,728.32 × 214,166.16
  4. Step 4: Simplify right side
    395,457.12x = 116,876,538,697.65
  5. Step 5: Solve for x
    x = 116,876,538,697.65/395,457.12
  6. Step 6: Final answer
    x = 295,547.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.