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Finding the Fourth Proportional to 601,546.48, 830,078.94 and 346,848.46

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Solution

The fourth proportional to 601,546.48, 830,078.94 and 346,848.46 is: 478,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,546.48 : 830,078.94 = 346,848.46 : x
  2. Step 2: Convert to fraction form
    601,546.48/830,078.94 = 346,848.46/x
  3. Step 3: Cross multiply
    601,546.48x = 830,078.94 × 346,848.46
  4. Step 4: Simplify right side
    601,546.48x = 287,911,602,017.43
  5. Step 5: Solve for x
    x = 287,911,602,017.43/601,546.48
  6. Step 6: Final answer
    x = 478,619.05

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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.