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Finding the Fourth Proportional to 364,034.60, 546,051.90 and 257,746.40

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Solution

The fourth proportional to 364,034.60, 546,051.90 and 257,746.40 is: 386,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,034.60 : 546,051.90 = 257,746.40 : x
  2. Step 2: Convert to fraction form
    364,034.60/546,051.90 = 257,746.40/x
  3. Step 3: Cross multiply
    364,034.60x = 546,051.90 × 257,746.40
  4. Step 4: Simplify right side
    364,034.60x = 140,742,911,438.16
  5. Step 5: Solve for x
    x = 140,742,911,438.16/364,034.60
  6. Step 6: Final answer
    x = 386,619.60

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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.