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Finding the Fourth Proportional to 346,051.09, 477,583.49 and 210,053.86

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Solution

The fourth proportional to 346,051.09, 477,583.49 and 210,053.86 is: 289,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,051.09 : 477,583.49 = 210,053.86 : x
  2. Step 2: Convert to fraction form
    346,051.09/477,583.49 = 210,053.86/x
  3. Step 3: Cross multiply
    346,051.09x = 477,583.49 × 210,053.86
  4. Step 4: Simplify right side
    346,051.09x = 100,318,254,877.95
  5. Step 5: Solve for x
    x = 100,318,254,877.95/346,051.09
  6. Step 6: Final answer
    x = 289,894.35

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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.