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Finding the Fourth Proportional to 589,595.45, 813,675.12 and 446,106.38

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Solution

The fourth proportional to 589,595.45, 813,675.12 and 446,106.38 is: 615,652.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,595.45 : 813,675.12 = 446,106.38 : x
  2. Step 2: Convert to fraction form
    589,595.45/813,675.12 = 446,106.38/x
  3. Step 3: Cross multiply
    589,595.45x = 813,675.12 × 446,106.38
  4. Step 4: Simplify right side
    589,595.45x = 362,985,662,279.27
  5. Step 5: Solve for x
    x = 362,985,662,279.27/589,595.45
  6. Step 6: Final answer
    x = 615,652.08

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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.