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Finding the Fourth Proportional to 614,547.34, 848,078.85 and 342,632.50

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Solution

The fourth proportional to 614,547.34, 848,078.85 and 342,632.50 is: 472,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,547.34 : 848,078.85 = 342,632.50 : x
  2. Step 2: Convert to fraction form
    614,547.34/848,078.85 = 342,632.50/x
  3. Step 3: Cross multiply
    614,547.34x = 848,078.85 × 342,632.50
  4. Step 4: Simplify right side
    614,547.34x = 290,579,376,572.63
  5. Step 5: Solve for x
    x = 290,579,376,572.63/614,547.34
  6. Step 6: Final answer
    x = 472,834.81

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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.