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Finding the Fourth Proportional to 590,584.77, 884,547.64 and 413,880.64

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Solution

The fourth proportional to 590,584.77, 884,547.64 and 413,880.64 is: 619,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,584.77 : 884,547.64 = 413,880.64 : x
  2. Step 2: Convert to fraction form
    590,584.77/884,547.64 = 413,880.64/x
  3. Step 3: Cross multiply
    590,584.77x = 884,547.64 × 413,880.64
  4. Step 4: Simplify right side
    590,584.77x = 366,097,141,659.67
  5. Step 5: Solve for x
    x = 366,097,141,659.67/590,584.77
  6. Step 6: Final answer
    x = 619,889.24

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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.