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Finding the Fourth Proportional to 384,547.58, 530,672.54 and 212,465.00

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Solution

The fourth proportional to 384,547.58, 530,672.54 and 212,465.00 is: 293,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,547.58 : 530,672.54 = 212,465.00 : x
  2. Step 2: Convert to fraction form
    384,547.58/530,672.54 = 212,465.00/x
  3. Step 3: Cross multiply
    384,547.58x = 530,672.54 × 212,465.00
  4. Step 4: Simplify right side
    384,547.58x = 112,749,340,580.50
  5. Step 5: Solve for x
    x = 112,749,340,580.50/384,547.58
  6. Step 6: Final answer
    x = 293,199.98

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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.