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Finding the Fourth Proportional to 294,462.06, 406,254.12 and 192,547.16

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Solution

The fourth proportional to 294,462.06, 406,254.12 and 192,547.16 is: 265,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,462.06 : 406,254.12 = 192,547.16 : x
  2. Step 2: Convert to fraction form
    294,462.06/406,254.12 = 192,547.16/x
  3. Step 3: Cross multiply
    294,462.06x = 406,254.12 × 192,547.16
  4. Step 4: Simplify right side
    294,462.06x = 78,223,075,013.03
  5. Step 5: Solve for x
    x = 78,223,075,013.03/294,462.06
  6. Step 6: Final answer
    x = 265,647.38

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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.