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Finding the Fourth Proportional to 357,482.06, 493,119.34 and 214,159.10

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Solution

The fourth proportional to 357,482.06, 493,119.34 and 214,159.10 is: 295,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,482.06 : 493,119.34 = 214,159.10 : x
  2. Step 2: Convert to fraction form
    357,482.06/493,119.34 = 214,159.10/x
  3. Step 3: Cross multiply
    357,482.06x = 493,119.34 × 214,159.10
  4. Step 4: Simplify right side
    357,482.06x = 105,605,994,046.99
  5. Step 5: Solve for x
    x = 105,605,994,046.99/357,482.06
  6. Step 6: Final answer
    x = 295,416.21

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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.