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Finding the Fourth Proportional to 556,671.06, 767,698.83 and 470,810.07

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Solution

The fourth proportional to 556,671.06, 767,698.83 and 470,810.07 is: 649,288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,671.06 : 767,698.83 = 470,810.07 : x
  2. Step 2: Convert to fraction form
    556,671.06/767,698.83 = 470,810.07/x
  3. Step 3: Cross multiply
    556,671.06x = 767,698.83 × 470,810.07
  4. Step 4: Simplify right side
    556,671.06x = 361,440,339,891.22
  5. Step 5: Solve for x
    x = 361,440,339,891.22/556,671.06
  6. Step 6: Final answer
    x = 649,288.90

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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.