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Finding the Fourth Proportional to 501,442.95, 751,457.16 and 276,904.47

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Solution

The fourth proportional to 501,442.95, 751,457.16 and 276,904.47 is: 414,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,442.95 : 751,457.16 = 276,904.47 : x
  2. Step 2: Convert to fraction form
    501,442.95/751,457.16 = 276,904.47/x
  3. Step 3: Cross multiply
    501,442.95x = 751,457.16 × 276,904.47
  4. Step 4: Simplify right side
    501,442.95x = 208,081,846,617.51
  5. Step 5: Solve for x
    x = 208,081,846,617.51/501,442.95
  6. Step 6: Final answer
    x = 414,966.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.