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Finding the Fourth Proportional to 601,137.14, 829,646.01 and 346,490.15

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Solution

The fourth proportional to 601,137.14, 829,646.01 and 346,490.15 is: 478,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,137.14 : 829,646.01 = 346,490.15 : x
  2. Step 2: Convert to fraction form
    601,137.14/829,646.01 = 346,490.15/x
  3. Step 3: Cross multiply
    601,137.14x = 829,646.01 × 346,490.15
  4. Step 4: Simplify right side
    601,137.14x = 287,464,166,303.57
  5. Step 5: Solve for x
    x = 287,464,166,303.57/601,137.14
  6. Step 6: Final answer
    x = 478,200.65

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1.5x scale

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.