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Finding the Fourth Proportional to 403,225.60, 604,838.40 and 122,742.40

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Solution

The fourth proportional to 403,225.60, 604,838.40 and 122,742.40 is: 184,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,225.60 : 604,838.40 = 122,742.40 : x
  2. Step 2: Convert to fraction form
    403,225.60/604,838.40 = 122,742.40/x
  3. Step 3: Cross multiply
    403,225.60x = 604,838.40 × 122,742.40
  4. Step 4: Simplify right side
    403,225.60x = 74,239,316,828.16
  5. Step 5: Solve for x
    x = 74,239,316,828.16/403,225.60
  6. Step 6: Final answer
    x = 184,113.60

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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.