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Finding the Fourth Proportional to 556,021.06, 767,300.75 and 314,295.14

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Solution

The fourth proportional to 556,021.06, 767,300.75 and 314,295.14 is: 433,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,021.06 : 767,300.75 = 314,295.14 : x
  2. Step 2: Convert to fraction form
    556,021.06/767,300.75 = 314,295.14/x
  3. Step 3: Cross multiply
    556,021.06x = 767,300.75 × 314,295.14
  4. Step 4: Simplify right side
    556,021.06x = 241,158,893,852.67
  5. Step 5: Solve for x
    x = 241,158,893,852.67/556,021.06
  6. Step 6: Final answer
    x = 433,722.59

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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.