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Finding the Fourth Proportional to 601,544.36, 830,076 and 346,846.34

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Solution

The fourth proportional to 601,544.36, 830,076 and 346,846.34 is: 478,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,544.36 : 830,076 = 346,846.34 : x
  2. Step 2: Convert to fraction form
    601,544.36/830,076 = 346,846.34/x
  3. Step 3: Cross multiply
    601,544.36x = 830,076 × 346,846.34
  4. Step 4: Simplify right side
    601,544.36x = 287,908,818,371.46
  5. Step 5: Solve for x
    x = 287,908,818,371.46/601,544.36
  6. Step 6: Final answer
    x = 478,616.11

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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.