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Finding the Fourth Proportional to 854,184, 1,178,671.59 and 472,158.84

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Solution

The fourth proportional to 854,184, 1,178,671.59 and 472,158.84 is: 651,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,184 : 1,178,671.59 = 472,158.84 : x
  2. Step 2: Convert to fraction form
    854,184/1,178,671.59 = 472,158.84/x
  3. Step 3: Cross multiply
    854,184x = 1,178,671.59 × 472,158.84
  4. Step 4: Simplify right side
    854,184x = 556,520,210,675.36
  5. Step 5: Solve for x
    x = 556,520,210,675.36/854,184
  6. Step 6: Final answer
    x = 651,522.64

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1.5x scale

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.