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Finding the Fourth Proportional to 590,802.76, 815,303.64 and 322,530.76

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Solution

The fourth proportional to 590,802.76, 815,303.64 and 322,530.76 is: 445,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,802.76 : 815,303.64 = 322,530.76 : x
  2. Step 2: Convert to fraction form
    590,802.76/815,303.64 = 322,530.76/x
  3. Step 3: Cross multiply
    590,802.76x = 815,303.64 × 322,530.76
  4. Step 4: Simplify right side
    590,802.76x = 262,960,502,639.97
  5. Step 5: Solve for x
    x = 262,960,502,639.97/590,802.76
  6. Step 6: Final answer
    x = 445,090.17

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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.