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Finding the Fourth Proportional to 975,345.34, 1,345,978.54 and 545,632.65

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Solution

The fourth proportional to 975,345.34, 1,345,978.54 and 545,632.65 is: 752,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,345.34 : 1,345,978.54 = 545,632.65 : x
  2. Step 2: Convert to fraction form
    975,345.34/1,345,978.54 = 545,632.65/x
  3. Step 3: Cross multiply
    975,345.34x = 1,345,978.54 × 545,632.65
  4. Step 4: Simplify right side
    975,345.34x = 734,409,837,623.33
  5. Step 5: Solve for x
    x = 734,409,837,623.33/975,345.34
  6. Step 6: Final answer
    x = 752,974.16

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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.