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Finding the Fourth Proportional to 586,148.40, 879,222.60 and 142,916.40

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Solution

The fourth proportional to 586,148.40, 879,222.60 and 142,916.40 is: 214,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,148.40 : 879,222.60 = 142,916.40 : x
  2. Step 2: Convert to fraction form
    586,148.40/879,222.60 = 142,916.40/x
  3. Step 3: Cross multiply
    586,148.40x = 879,222.60 × 142,916.40
  4. Step 4: Simplify right side
    586,148.40x = 125,655,328,790.64
  5. Step 5: Solve for x
    x = 125,655,328,790.64/586,148.40
  6. Step 6: Final answer
    x = 214,374.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.