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Finding the Fourth Proportional to 601,087.08, 829,312.38 and 346,403.64

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Solution

The fourth proportional to 601,087.08, 829,312.38 and 346,403.64 is: 477,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,087.08 : 829,312.38 = 346,403.64 : x
  2. Step 2: Convert to fraction form
    601,087.08/829,312.38 = 346,403.64/x
  3. Step 3: Cross multiply
    601,087.08x = 829,312.38 × 346,403.64
  4. Step 4: Simplify right side
    601,087.08x = 287,276,827,129.06
  5. Step 5: Solve for x
    x = 287,276,827,129.06/601,087.08
  6. Step 6: Final answer
    x = 477,928.80

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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.