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Finding the Fourth Proportional to 357,321.17, 493,066.95 and 214,077.53

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Solution

The fourth proportional to 357,321.17, 493,066.95 and 214,077.53 is: 295,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,321.17 : 493,066.95 = 214,077.53 : x
  2. Step 2: Convert to fraction form
    357,321.17/493,066.95 = 214,077.53/x
  3. Step 3: Cross multiply
    357,321.17x = 493,066.95 × 214,077.53
  4. Step 4: Simplify right side
    357,321.17x = 105,554,555,210.51
  5. Step 5: Solve for x
    x = 105,554,555,210.51/357,321.17
  6. Step 6: Final answer
    x = 295,405.26

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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.