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Finding the Fourth Proportional to 403,509.94, 604,477.50 and 314,345.95

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Solution

The fourth proportional to 403,509.94, 604,477.50 and 314,345.95 is: 470,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,509.94 : 604,477.50 = 314,345.95 : x
  2. Step 2: Convert to fraction form
    403,509.94/604,477.50 = 314,345.95/x
  3. Step 3: Cross multiply
    403,509.94x = 604,477.50 × 314,345.95
  4. Step 4: Simplify right side
    403,509.94x = 190,015,054,746.72
  5. Step 5: Solve for x
    x = 190,015,054,746.72/403,509.94
  6. Step 6: Final answer
    x = 470,905.51

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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.