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Finding the Fourth Proportional to 406,333.53, 559,457.28 and 357,905.25

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Solution

The fourth proportional to 406,333.53, 559,457.28 and 357,905.25 is: 492,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,333.53 : 559,457.28 = 357,905.25 : x
  2. Step 2: Convert to fraction form
    406,333.53/559,457.28 = 357,905.25/x
  3. Step 3: Cross multiply
    406,333.53x = 559,457.28 × 357,905.25
  4. Step 4: Simplify right side
    406,333.53x = 200,232,697,662.72
  5. Step 5: Solve for x
    x = 200,232,697,662.72/406,333.53
  6. Step 6: Final answer
    x = 492,779.17

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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.