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Finding the Fourth Proportional to 357,482.35, 493,397.25 and 212,368.74

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Solution

The fourth proportional to 357,482.35, 493,397.25 and 212,368.74 is: 293,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,482.35 : 493,397.25 = 212,368.74 : x
  2. Step 2: Convert to fraction form
    357,482.35/493,397.25 = 212,368.74/x
  3. Step 3: Cross multiply
    357,482.35x = 493,397.25 × 212,368.74
  4. Step 4: Simplify right side
    357,482.35x = 104,782,151,240.12
  5. Step 5: Solve for x
    x = 104,782,151,240.12/357,482.35
  6. Step 6: Final answer
    x = 293,111.40

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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.