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Finding the Fourth Proportional to 614,915, 848,582.72 and 346,643

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Solution

The fourth proportional to 614,915, 848,582.72 and 346,643 is: 478,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,915 : 848,582.72 = 346,643 : x
  2. Step 2: Convert to fraction form
    614,915/848,582.72 = 346,643/x
  3. Step 3: Cross multiply
    614,915x = 848,582.72 × 346,643
  4. Step 4: Simplify right side
    614,915x = 294,155,259,808.96
  5. Step 5: Solve for x
    x = 294,155,259,808.96/614,915
  6. Step 6: Final answer
    x = 478,367.35

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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.