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Finding the Fourth Proportional to 584,018.25, 805,946.40 and 315,746.25

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Solution

The fourth proportional to 584,018.25, 805,946.40 and 315,746.25 is: 435,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,018.25 : 805,946.40 = 315,746.25 : x
  2. Step 2: Convert to fraction form
    584,018.25/805,946.40 = 315,746.25/x
  3. Step 3: Cross multiply
    584,018.25x = 805,946.40 × 315,746.25
  4. Step 4: Simplify right side
    584,018.25x = 254,474,553,501
  5. Step 5: Solve for x
    x = 254,474,553,501/584,018.25
  6. Step 6: Final answer
    x = 435,730.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.